312134013300120 has 128 divisors (see below), whose sum is σ = 1021544692554240. Its totient is φ = 75667726192640.

The previous prime is 312134013300119. The next prime is 312134013300169. The reversal of 312134013300120 is 21003310431213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88784104 + ... + 92232776.

It is an arithmetic number, because the mean of its divisors is an integer number (7980817910580).

Almost surely, 2^{312134013300120} is an apocalyptic number.

312134013300120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312134013300120 is an abundant number, since it is smaller than the sum of its proper divisors (709410679254120).

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

312134013300120 is a wasteful number, since it uses less digits than its factorization.

312134013300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517265 (or 3517261 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312134013300120 its reverse (21003310431213), we get a palindrome (333137323731333).

The spelling of 312134013300120 in words is "three hundred twelve trillion, one hundred thirty-four billion, thirteen million, three hundred thousand, one hundred twenty".