312830781120 has 1344 divisors, whose sum is σ = 1322845655040. Its totient is φ = 66819686400.

The previous prime is 312830781073. The next prime is 312830781127. The reversal of 312830781120 is 21187038213.

312830781120 is a `hidden beast` number, since 312 + 8 + 307 + 8 + 11 + 20 = 666.

It is a super-2 number, since 2×312830781120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312830781127) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1366073166 + ... + 1366073394.

It is an arithmetic number, because the mean of its divisors is an integer number (984260160).

Almost surely, 2^312830781120 is an apocalyptic number.

312830781120 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 312830781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661422827520).

312830781120 is an abundant number, since it is smaller than the sum of its proper divisors (1010014873920).

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

312830781120 is a wasteful number, since it uses less digits than its factorization.

312830781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 312830781120 in words is "three hundred twelve billion, eight hundred thirty million, seven hundred eighty-one thousand, one hundred twenty".