312400111200 has 72 divisors (see below), whose sum is σ = 1016862369768. Its totient is φ = 83306695680.

The previous prime is 312400111181. The next prime is 312400111211. The reversal of 312400111200 is 2111004213.

312400111200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312400111200.

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, 65080957 + ... + 65085756.

It is an arithmetic number, because the mean of its divisors is an integer number (14123088469).

Almost surely, 2^312400111200 is an apocalyptic number.

312400111200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312400111200 is an abundant number, since it is smaller than the sum of its proper divisors (704462258568).

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

312400111200 is a wasteful number, since it uses less digits than its factorization.

312400111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130166736 (or 130166723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 312400111200 its reverse (2111004213), we get a palindrome (314511115413).

The spelling of 312400111200 in words is "three hundred twelve billion, four hundred million, one hundred eleven thousand, two hundred".