112312012122000 has 240 divisors, whose sum is σ = 397641965670768. Its totient is φ = 29539597363200.

The previous prime is 112312012121941. The next prime is 112312012122007. The reversal of 112312012122000 is 221210213211.

112312012122000 is a `hidden beast` number, since 1 + 1 + 231 + 20 + 1 + 212 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 67867016564736 + 44444995557264 = 8238144^2 + 6666708^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×112312012122000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112312012122007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41422687 + ... + 44050686.

Almost surely, 2^{112312012122000} is an apocalyptic number.

112312012122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112312012122000 is an abundant number, since it is smaller than the sum of its proper divisors (285329953548768).

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

112312012122000 is a wasteful number, since it uses less digits than its factorization.

112312012122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85473475 (or 85473456 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112312012122000 its reverse (221210213211), we get a palindrome (112533222335211).

The spelling of 112312012122000 in words is "one hundred twelve trillion, three hundred twelve billion, twelve million, one hundred twenty-two thousand".