\[ \large 2011^{2011^{2012}} \]
###### Image Credit: Wikimedia TetrationConvergence

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.

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