112312113133032 has 128 divisors (see below), whose sum is σ = 317702286720000. Its totient is φ = 36752213412288.

The previous prime is 112312113133027. The next prime is 112312113133039. The reversal of 112312113133032 is 230331311213211.

112312113133032 is a `hidden beast` number, since 1 + 1 + 2 + 31 + 2 + 11 + 313 + 303 + 2 = 666.

It is a super-2 number, since 2×112312113133032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112312113132987 and 112312113133005.

It is not an unprimeable number, because it can be changed into a prime (112312113133039) 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, 3203719 + ... + 15326057.

It is an arithmetic number, because the mean of its divisors is an integer number (2482049115000).

Almost surely, 2^{112312113133032} is an apocalyptic number.

112312113133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312113133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158851143360000).

112312113133032 is an abundant number, since it is smaller than the sum of its proper divisors (205390173586968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112312113133032 is a wasteful number, since it uses less digits than its factorization.

112312113133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123140 (or 12123130 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 112312113133032 its reverse (230331311213211), we get a palindrome (342643424346243).

The spelling of 112312113133032 in words is "one hundred twelve trillion, three hundred twelve billion, one hundred thirteen million, one hundred thirty-three thousand, thirty-two".