112133322012129 has 32 divisors (see below), whose sum is σ = 163875144781824. Its totient is φ = 67638019394880.

The previous prime is 112133322012113. The next prime is 112133322012139. The reversal of 112133322012129 is 921210223331211.

It is a happy number.

It is not a de Polignac number, because 112133322012129 - 2⁴ = 112133322012113 is a prime.

It is a super-2 number, since 2×112133322012129² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 112133322012129.

It is not an unprimeable number, because it can be changed into a prime (112133322012139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27742767 + ... + 31526619.

It is an arithmetic number, because the mean of its divisors is an integer number (5121098274432).

Almost surely, 2^{112133322012129} is an apocalyptic number.

It is an amenable number.

112133322012129 is a deficient number, since it is larger than the sum of its proper divisors (51741822769695).

112133322012129 is a wasteful number, since it uses less digits than its factorization.

112133322012129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788117.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 112133322012129 in words is "one hundred twelve trillion, one hundred thirty-three billion, three hundred twenty-two million, twelve thousand, one hundred twenty-nine".