# Rudimental Tetration

Number Theory Level 4

$\large 2011^{2011^{2012}}$

If the above number is in the form of $$x^x$$ for some positve integer $$x$$, how many positive factors does $$x$$ have (inclusive of $$1$$ and itself)?

Details and Assumptions

• No computational aids is required in solving this problem.

• You may use the fact that $$2011$$ is prime.

×