312444521135320 has 64 divisors (see below), whose sum is σ = 819825274152000. Its totient is φ = 107123835813120.

The previous prime is 312444521135297. The next prime is 312444521135381. The reversal of 312444521135320 is 23531125444213.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 11386448421 + ... + 11386475860.

It is an arithmetic number, because the mean of its divisors is an integer number (12809769908625).

Almost surely, 2^{312444521135320} is an apocalyptic number.

It is an amenable number.

312444521135320 is an abundant number, since it is smaller than the sum of its proper divisors (507380753016680).

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

312444521135320 is a wasteful number, since it uses less digits than its factorization.

312444521135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22772924313 (or 22772924295 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 312444521135320 its reverse (23531125444213), we get a palindrome (335975646579533).

The spelling of 312444521135320 in words is "three hundred twelve trillion, four hundred forty-four billion, five hundred twenty-one million, one hundred thirty-five thousand, three hundred twenty".