312212413104120 has 128 divisors (see below), whose sum is σ = 1041066548121600. Its totient is φ = 83227963139712.

The previous prime is 312212413104107. The next prime is 312212413104127. The reversal of 312212413104120 is 21401314212213.

312212413104120 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 1 + 241 + 3 + 1 + 0 + 412 + 0 = 666.

It is a super-3 number, since 3×312212413104120³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312212413104127) 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, 46655592 + ... + 52926071.

It is an arithmetic number, because the mean of its divisors is an integer number (8133332407200).

Almost surely, 2^{312212413104120} is an apocalyptic number.

312212413104120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312212413104120 is an abundant number, since it is smaller than the sum of its proper divisors (728854135017480).

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

312212413104120 is a wasteful number, since it uses less digits than its factorization.

312212413104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99584586 (or 99584576 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312212413104120 its reverse (21401314212213), we get a palindrome (333613727316333).

The spelling of 312212413104120 in words is "three hundred twelve trillion, two hundred twelve billion, four hundred thirteen million, one hundred four thousand, one hundred twenty".