312012111120 has 80 divisors (see below), whose sum is σ = 993379128000. Its totient is φ = 80954491392.

The previous prime is 312012111119. The next prime is 312012111163. The reversal of 312012111120 is 21111210213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312012111120.

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 15 ways as a sum of consecutive naturals, for example, 17559370 + ... + 17577129.

It is an arithmetic number, because the mean of its divisors is an integer number (12417239100).

Almost surely, 2^312012111120 is an apocalyptic number.

312012111120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312012111120 is an abundant number, since it is smaller than the sum of its proper divisors (681367016880).

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

312012111120 is a wasteful number, since it uses less digits than its factorization.

312012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35136552 (or 35136546 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 312012111120 its reverse (21111210213), we get a palindrome (333123321333).

The spelling of 312012111120 in words is "three hundred twelve billion, twelve million, one hundred eleven thousand, one hundred twenty".