120012310312032 has 96 divisors (see below), whose sum is σ = 315326567485440. Its totient is φ = 39966751365120.

The previous prime is 120012310311991. The next prime is 120012310312033. The reversal of 120012310312032 is 230213013210021.

120012310312032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012310312033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590187657 + ... + 590390967.

It is an arithmetic number, because the mean of its divisors is an integer number (3284651744640).

Almost surely, 2^{120012310312032} is an apocalyptic number.

120012310312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120012310312032 is an abundant number, since it is smaller than the sum of its proper divisors (195314257173408).

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

120012310312032 is a wasteful number, since it uses less digits than its factorization.

120012310312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209036 (or 209028 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120012310312032 its reverse (230213013210021), we get a palindrome (350225323522053).

The spelling of 120012310312032 in words is "one hundred twenty trillion, twelve billion, three hundred ten million, three hundred twelve thousand, thirty-two".