An algebra problem by Anandmay Patel

Define $J$ as the set of English words that describe a natural number. IE $J = \{ \text{zero, one, two, } \ldots \}$ .

Define the function $f:J \rightarrow J$ such that $f(x)=$ number of letters in $x$ . There is a uniquie value of $x$ such that $f(x) = x$ .

Find $x$ as a number.