312120773888 has 648 divisors, whose sum is σ = 855355132800. Its totient is φ = 112916643840.

The previous prime is 312120773849. The next prime is 312120773893. The reversal of 312120773888 is 888377021213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2278253756 + ... + 2278253892.

Almost surely, 2^312120773888 is an apocalyptic number.

312120773888 is a gapful number since it is divisible by the number (38) 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 312120773888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427677566400).

312120773888 is an abundant number, since it is smaller than the sum of its proper divisors (543234358912).

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

312120773888 is a wasteful number, since it uses less digits than its factorization.

312120773888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The spelling of 312120773888 in words is "three hundred twelve billion, one hundred twenty million, seven hundred seventy-three thousand, eight hundred eighty-eight".