312402321200400 has 120 divisors (see below), whose sum is σ = 1053398704194720. Its totient is φ = 78922691665920.

The previous prime is 312402321200383. The next prime is 312402321200443. The reversal of 312402321200400 is 4002123204213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×312402321200400³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6850905297 + ... + 6850950896.

It is an arithmetic number, because the mean of its divisors is an integer number (8778322534956).

Almost surely, 2^{312402321200400} is an apocalyptic number.

312402321200400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312402321200400 is an abundant number, since it is smaller than the sum of its proper divisors (740996382994320).

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

312402321200400 is a wasteful number, since it uses less digits than its factorization.

312402321200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701856233 (or 13701856222 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312402321200400 its reverse (4002123204213), we get a palindrome (316404444404613).

The spelling of 312402321200400 in words is "three hundred twelve trillion, four hundred two billion, three hundred twenty-one million, two hundred thousand, four hundred".