noun, plural trillions (as after a numeral) trillion.
a cardinal number represented in the U.S. by 1 followed by 12 zeros, and in Great Britain by 1 followed by 18 zeros.
amounting to one trillion in number.

1680–90; < French, equivalent to tr(i)- tri- + (m)illion million

trillionth, noun, adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
trillion (ˈtrɪljən)
1.  the number represented as one followed by twelve zeros (1012); a million million
2.  (formerly, in Britain) the number represented as one followed by eighteen zeros (1018); a million million million
3.  (often plural) an exceptionally large but unspecified number
determiner (preceded by a or a numeral)
4.  a.  amounting to a trillion: a trillion stars
 b.  (as pronoun): there are three trillion
[C17: from French, on the model of million]
n, —adj

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1690, from Fr. trillion (c.1484), from tri- + (m)illion. Cf. billion. In the U.S., the fourth power of a thousand (one thousand billion, 1 followed by 12 zeroes); in Great Britain, the third power of a million (one million billion, 1 followed by 18 zeroes), which is the original sense.
Online Etymology Dictionary, © 2010 Douglas Harper
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Computing Dictionary

trillion definition

In Britain, France, and Germany, 10^18 or a million cubed.
In the USA and Canada, 10^12.

The Free On-line Dictionary of Computing, © Denis Howe 2010
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Example sentences
In other words, it could authorize a trillion dollar coin.
Dogs can identify chemical traces in the range of parts per trillion.
The human brain may contain up to one trillion neurons.
There could be a trillion or more comets in the deep cold beyond the fringes of
  our solar system.
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