312114150912 has 320 divisors, whose sum is σ = 914144616000. Its totient is φ = 94190960640.

The previous prime is 312114150869. The next prime is 312114150917. The reversal of 312114150912 is 219051411213.

It is a self number, because there is not a number n which added to its sum of digits gives 312114150912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312114150917) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 264278962 + ... + 264280142.

It is an arithmetic number, because the mean of its divisors is an integer number (2856701925).

Almost surely, 2^312114150912 is an apocalyptic number.

312114150912 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 312114150912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457072308000).

312114150912 is an abundant number, since it is smaller than the sum of its proper divisors (602030465088).

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

312114150912 is a wasteful number, since it uses less digits than its factorization.

312114150912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 312114150912 in words is "three hundred twelve billion, one hundred fourteen million, one hundred fifty thousand, nine hundred twelve".