312034210400 has 144 divisors (see below), whose sum is σ = 867134999808. Its totient is φ = 108533568000.

The previous prime is 312034210399. The next prime is 312034210451. The reversal of 312034210400 is 4012430213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568436 + ... + 973235.

It is an arithmetic number, because the mean of its divisors is an integer number (6021770832).

Almost surely, 2^312034210400 is an apocalyptic number.

It is an amenable number.

312034210400 is an abundant number, since it is smaller than the sum of its proper divisors (555100789408).

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

312034210400 is a wasteful number, since it uses less digits than its factorization.

312034210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541725 (or 1541712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312034210400 its reverse (4012430213), we get a palindrome (316046640613).

The spelling of 312034210400 in words is "three hundred twelve billion, thirty-four million, two hundred ten thousand, four hundred".