312231424130400 has 72 divisors (see below), whose sum is σ = 1016313285552264. Its totient is φ = 83261713100800.

The previous prime is 312231424130377. The next prime is 312231424130429. The reversal of 312231424130400 is 4031424132213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65048210961 + ... + 65048215760.

It is an arithmetic number, because the mean of its divisors is an integer number (14115462299337).

Almost surely, 2^{312231424130400} is an apocalyptic number.

312231424130400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312231424130400 is an abundant number, since it is smaller than the sum of its proper divisors (704081861421864).

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

312231424130400 is a wasteful number, since it uses less digits than its factorization.

312231424130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130096426744 (or 130096426731 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312231424130400 its reverse (4031424132213), we get a palindrome (316262848262613).

The spelling of 312231424130400 in words is "three hundred twelve trillion, two hundred thirty-one billion, four hundred twenty-four million, one hundred thirty thousand, four hundred".