312413212032 has 64 divisors (see below), whose sum is σ = 829952445360. Its totient is φ = 104124579840.

The previous prime is 312413212003. The next prime is 312413212037. The reversal of 312413212032 is 230212314213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 312413211993 and 312413212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413212037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3271068 + ... + 3365220.

Almost surely, 2^312413212032 is an apocalyptic number.

312413212032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312413212032 is an abundant number, since it is smaller than the sum of its proper divisors (517539233328).

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

312413212032 is an equidigital number, since it uses as much as digits as its factorization.

312413212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102811 (or 102799 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312413212032 its reverse (230212314213), we get a palindrome (542625526245).

The spelling of 312413212032 in words is "three hundred twelve billion, four hundred thirteen million, two hundred twelve thousand, thirty-two".