312252720832 has 224 divisors, whose sum is σ = 711717753600. Its totient is φ = 134736556032.

The previous prime is 312252720811. The next prime is 312252720833. The reversal of 312252720832 is 238027252213.

It is a junction number, because it is equal to n+sod(n) for n = 312252720791 and 312252720800.

It is not an unprimeable number, because it can be changed into a prime (312252720833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461229678 + ... + 461230354.

It is an arithmetic number, because the mean of its divisors is an integer number (3177311400).

Almost surely, 2^312252720832 is an apocalyptic number.

312252720832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312252720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355858876800).

312252720832 is an abundant number, since it is smaller than the sum of its proper divisors (399465032768).

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

312252720832 is a wasteful number, since it uses less digits than its factorization.

312252720832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 312252720832 in words is "three hundred twelve billion, two hundred fifty-two million, seven hundred twenty thousand, eight hundred thirty-two".