312412402110400 has 84 divisors (see below), whose sum is σ = 769417980625528. Its totient is φ = 124853084605440.

The previous prime is 312412402110383. The next prime is 312412402110401. The reversal of 312412402110400 is 4011204214213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312412402110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85615554 + ... + 89189953.

Almost surely, 2^{312412402110400} is an apocalyptic number.

It is an amenable number.

312412402110400 is an abundant number, since it is smaller than the sum of its proper divisors (457005578515128).

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

312412402110400 is a wasteful number, since it uses less digits than its factorization.

312412402110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174806646 (or 174806631 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 312412402110400 its reverse (4011204214213), we get a palindrome (316423606324613).

The spelling of 312412402110400 in words is "three hundred twelve trillion, four hundred twelve billion, four hundred two million, one hundred ten thousand, four hundred".