312112313100 has 144 divisors (see below), whose sum is σ = 1146723827200. Its totient is φ = 71339952960.

The previous prime is 312112313083. The next prime is 312112313137. The reversal of 312112313100 is 1313211213.

312112313100 is a `hidden beast` number, since 3 + 121 + 1 + 231 + 310 + 0 = 666.

It is a super-2 number, since 2×312112313100² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8238040 + ... + 8275839.

Almost surely, 2^312112313100 is an apocalyptic number.

312112313100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312112313100 is an abundant number, since it is smaller than the sum of its proper divisors (834611514100).

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

312112313100 is a wasteful number, since it uses less digits than its factorization.

312112313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16513909 (or 16513896 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312112313100 its reverse (1313211213), we get a palindrome (313425524313).

The spelling of 312112313100 in words is "three hundred twelve billion, one hundred twelve million, three hundred thirteen thousand, one hundred".