312132120024321 has 12 divisors (see below), whose sum is σ = 451423199945172. Its totient is φ = 207826990826976.

The previous prime is 312132120024317. The next prime is 312132120024401. The reversal of 312132120024321 is 123420021231213.

312132120024321 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 21 + 200 + 2 + 432 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97654220460225 + 214477899564096 = 9882015^2 + 14645064^2 .

It is not a de Polignac number, because 312132120024321 - 2² = 312132120024317 is a prime.

It is a super-2 number, since 2×312132120024321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312132120024521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21757424866 + ... + 21757439211.

It is an arithmetic number, because the mean of its divisors is an integer number (37618599995431).

Almost surely, 2^{312132120024321} is an apocalyptic number.

It is an amenable number.

312132120024321 is a deficient number, since it is larger than the sum of its proper divisors (139291079920851).

312132120024321 is a wasteful number, since it uses less digits than its factorization.

312132120024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43514864880 (or 43514864877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312132120024321 its reverse (123420021231213), we get a palindrome (435552141255534).

The spelling of 312132120024321 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, twenty-four thousand, three hundred twenty-one".