312011132232400 has 30 divisors (see below), whose sum is σ = 749606745189302. Its totient is φ = 124804452892800.

The previous prime is 312011132232341. The next prime is 312011132232529. The reversal of 312011132232400 is 4232231110213.

It can be written as a sum of positive squares in 3 ways, for example, as 1038222420624 + 310972909811776 = 1018932^2 + 17634424^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 390013914891 + ... + 390013915690.

Almost surely, 2^{312011132232400} is an apocalyptic number.

It is an amenable number.

312011132232400 is an abundant number, since it is smaller than the sum of its proper divisors (437595612956902).

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

312011132232400 is a wasteful number, since it uses less digits than its factorization.

312011132232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780027830599 (or 780027830588 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 312011132232400 its reverse (4232231110213), we get a palindrome (316243363342613).

The spelling of 312011132232400 in words is "three hundred twelve trillion, eleven billion, one hundred thirty-two million, two hundred thirty-two thousand, four hundred".