312973206912 has 512 divisors, whose sum is σ = 993107904000. Its totient is φ = 98227302912.

The previous prime is 312973206899. The next prime is 312973206929. The reversal of 312973206912 is 219602379213.

312973206912 is a `hidden beast` number, since 31 + 297 + 320 + 6 + 9 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1920080943 + ... + 1920081105.

It is an arithmetic number, because the mean of its divisors is an integer number (1939663875).

Almost surely, 2^312973206912 is an apocalyptic number.

312973206912 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 312973206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496553952000).

312973206912 is an abundant number, since it is smaller than the sum of its proper divisors (680134697088).

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

312973206912 is an frugal number, since it uses more digits than its factorization.

312973206912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 312973206912 in words is "three hundred twelve billion, nine hundred seventy-three million, two hundred six thousand, nine hundred twelve".