112112120122133 has 16 divisors (see below), whose sum is σ = 112872995963520. Its totient is φ = 111354569012736.

The previous prime is 112112120122127. The next prime is 112112120122147. The reversal of 112112120122133 is 331221021211211.

It is a cyclic number.

It is not a de Polignac number, because 112112120122133 - 2¹⁶ = 112112120056597 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112112120122099 and 112112120122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112120122333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94743560 + ... + 95919582.

It is an arithmetic number, because the mean of its divisors is an integer number (7054562247720).

Almost surely, 2^{112112120122133} is an apocalyptic number.

It is an amenable number.

112112120122133 is a deficient number, since it is larger than the sum of its proper divisors (760875841387).

112112120122133 is a wasteful number, since it uses less digits than its factorization.

112112120122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177436.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 112112120122133 its reverse (331221021211211), we get a palindrome (443333141333344).

The spelling of 112112120122133 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred thirty-three".