312031120121312 has 24 divisors (see below), whose sum is σ = 614329173064656. Its totient is φ = 156011012676352.

The previous prime is 312031120121291. The next prime is 312031120121339. The reversal of 312031120121312 is 213121021130213.

It is a happy number.

It is a super-3 number, since 3×312031120121312³ (a number of 44 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140990588 + ... + 143186619.

It is an arithmetic number, because the mean of its divisors is an integer number (25597048877694).

Almost surely, 2^{312031120121312} is an apocalyptic number.

312031120121312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312031120121312 is a deficient number, since it is larger than the sum of its proper divisors (302298052943344).

312031120121312 is a wasteful number, since it uses less digits than its factorization.

312031120121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284211530 (or 284211522 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 312031120121312 its reverse (213121021130213), we get a palindrome (525152141251525).

The spelling of 312031120121312 in words is "three hundred twelve trillion, thirty-one billion, one hundred twenty million, one hundred twenty-one thousand, three hundred twelve".