312827897733120 has 8064 divisors, whose sum is σ = 1564317832089600. Its totient is φ = 59595463065600.

The previous prime is 312827897733119. The next prime is 312827897733133. The reversal of 312827897733120 is 21337798728213.

It is a happy number.

312827897733120 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 278 + 9 + 7 + 7 + 331 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a super-2 number, since 2×312827897733120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10091222507505 + ... + 10091222507535.

It is an arithmetic number, because the mean of its divisors is an integer number (193987826400).

Almost surely, 2^{312827897733120} is an apocalyptic number.

312827897733120 is a gapful number since it is divisible by the number (30) 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 312827897733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782158916044800).

312827897733120 is an abundant number, since it is smaller than the sum of its proper divisors (1251489934356480).

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

312827897733120 is an equidigital number, since it uses as much as digits as its factorization.

312827897733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 312827897733120 in words is "three hundred twelve trillion, eight hundred twenty-seven billion, eight hundred ninety-seven million, seven hundred thirty-three thousand, one hundred twenty".