-illion

The -illion system is a suffix used to represent powers of ten.

Usage
The -illion system is used worldwide with two different forms: American and French/German.

The American system combines the Latin prefixes mi-, bi-, tri-, quadri-, quinti-, etc. with the -illion suffix to create a number of the form $$10^{3n+3}$$, where n is the "meaning" of the Latin prefix. For example, a billion is $$10^{3(2)+3} = 10^{9}$$.

The French and German system, formerly used by the British, implies that n-illion is $$10^{6n}$$ and n-illiard is $$10^{6n+3}$$. So a billion is $$10^{6(2)} = 10^{12}$$.