312112112012100 has 288 divisors, whose sum is σ = 1035295488514560. Its totient is φ = 80619260497920.

The previous prime is 312112112012083. The next prime is 312112112012111. The reversal of 312112112012100 is 1210211211213.

It is a happy number.

312112112012100 is a `hidden beast` number, since 31 + 2 + 11 + 211 + 201 + 210 + 0 = 666.

It is a super-2 number, since 2×312112112012100² (a number of 30 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 95 ways as a sum of consecutive naturals, for example, 368599 + ... + 24987198.

Almost surely, 2^{312112112012100} is an apocalyptic number.

312112112012100 is a gapful number since it is divisible by the number (30) 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 312112112012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517647744257280).

312112112012100 is an abundant number, since it is smaller than the sum of its proper divisors (723183376502460).

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

312112112012100 is a wasteful number, since it uses less digits than its factorization.

312112112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25355964 (or 25355951 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 312112112012100 its reverse (1210211211213), we get a palindrome (313322323223313).

The spelling of 312112112012100 in words is "three hundred twelve trillion, one hundred twelve billion, one hundred twelve million, twelve thousand, one hundred".