120213313132032 has 160 divisors (see below), whose sum is σ = 359165364624000. Its totient is φ = 39696607586304.

The previous prime is 120213313132009. The next prime is 120213313132043. The reversal of 120213313132032 is 230231313312021.

120213313132032 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 331 + 3 + 1 + 320 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120213313131987 and 120213313132005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39156282 + ... + 42114617.

It is an arithmetic number, because the mean of its divisors is an integer number (2244783528900).

Almost surely, 2^{120213313132032} is an apocalyptic number.

120213313132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120213313132032 is an abundant number, since it is smaller than the sum of its proper divisors (238952051491968).

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

120213313132032 is an equidigital number, since it uses as much as digits as its factorization.

120213313132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81271033 (or 81271011 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 120213313132032 its reverse (230231313312021), we get a palindrome (350444626444053).

The spelling of 120213313132032 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred thirteen million, one hundred thirty-two thousand, thirty-two".