312544240000000 has 704 divisors, whose sum is σ = 829032877670400. Its totient is φ = 117514496000000.

The previous prime is 312544239999973. The next prime is 312544240000009. The reversal of 312544240000000 is 42445213.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312544240000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312544240000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108559998561 + ... + 108560001439.

Almost surely, 2^{312544240000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312544240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414516438835200).

312544240000000 is an abundant number, since it is smaller than the sum of its proper divisors (516488637670400).

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

312544240000000 is an frugal number, since it uses more digits than its factorization.

312544240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 312544240000000 its reverse (42445213), we get a palindrome (312544282445213).

The spelling of 312544240000000 in words is "three hundred twelve trillion, five hundred forty-four billion, two hundred forty million", and thus it is an aban number.