312414231013120 has 72 divisors (see below), whose sum is σ = 748475915120640. Its totient is φ = 124941277655040.

The previous prime is 312414231013111. The next prime is 312414231013229. The reversal of 312414231013120 is 21310132414213.

It is a super-2 number, since 2×312414231013120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17287651 + ... + 30392290.

It is an arithmetic number, because the mean of its divisors is an integer number (10395498821120).

Almost surely, 2^{312414231013120} is an apocalyptic number.

It is an amenable number.

312414231013120 is an abundant number, since it is smaller than the sum of its proper divisors (436061684107520).

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

312414231013120 is an equidigital number, since it uses as much as digits as its factorization.

312414231013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47685081 (or 47685067 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312414231013120 its reverse (21310132414213), we get a palindrome (333724363427333).

The spelling of 312414231013120 in words is "three hundred twelve trillion, four hundred fourteen billion, two hundred thirty-one million, thirteen thousand, one hundred twenty".