312829210372 has 48 divisors (see below), whose sum is σ = 632814094080. Its totient is φ = 132536904192.

The previous prime is 312829210361. The next prime is 312829210387. The reversal of 312829210372 is 273012928213.

It is a happy number.

It is a super-2 number, since 2×312829210372² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17392648 + ... + 17410624.

It is an arithmetic number, because the mean of its divisors is an integer number (13183626960).

Almost surely, 2^312829210372 is an apocalyptic number.

It is an amenable number.

312829210372 is an abundant number, since it is smaller than the sum of its proper divisors (319984883708).

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

312829210372 is a wasteful number, since it uses less digits than its factorization.

312829210372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25060 (or 25058 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 312829210372 in words is "three hundred twelve billion, eight hundred twenty-nine million, two hundred ten thousand, three hundred seventy-two".