312133121120 has 48 divisors (see below), whose sum is σ = 737828753760. Its totient is φ = 124783110144.

The previous prime is 312133121119. The next prime is 312133121149. The reversal of 312133121120 is 21121331213.

It is a happy number.

It is a super-2 number, since 2×312133121120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312133121092 and 312133121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261785 + ... + 832344.

It is an arithmetic number, because the mean of its divisors is an integer number (15371432370).

Almost surely, 2^312133121120 is an apocalyptic number.

It is an amenable number.

312133121120 is an abundant number, since it is smaller than the sum of its proper divisors (425695632640).

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

312133121120 is a wasteful number, since it uses less digits than its factorization.

312133121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095927 (or 1095919 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312133121120 its reverse (21121331213), we get a palindrome (333254452333).

The spelling of 312133121120 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".