312412253200 has 120 divisors (see below), whose sum is σ = 753545285888. Its totient is φ = 124470743040.

The previous prime is 312412253149. The next prime is 312412253221. The reversal of 312412253200 is 2352214213.

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

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, 131099209 + ... + 131101591.

Almost surely, 2^312412253200 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 312412253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376772642944).

312412253200 is an abundant number, since it is smaller than the sum of its proper divisors (441133032688).

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

312412253200 is a wasteful number, since it uses less digits than its factorization.

312412253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 312412253200 its reverse (2352214213), we get a palindrome (314764467413).

The spelling of 312412253200 in words is "three hundred twelve billion, four hundred twelve million, two hundred fifty-three thousand, two hundred".