120013031120 has 40 divisors (see below), whose sum is σ = 279829876200. Its totient is φ = 47867650560.

The previous prime is 120013031113. The next prime is 120013031129. The reversal of 120013031120 is 21130310021.

It can be written as a sum of positive squares in 4 ways, for example, as 4788086416 + 115224944704 = 69196^2 + 339448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×120013031120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120013031095 and 120013031104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013031129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2121311 + ... + 2177150.

It is an arithmetic number, because the mean of its divisors is an integer number (6995746905).

Almost surely, 2^120013031120 is an apocalyptic number.

120013031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120013031120 is an abundant number, since it is smaller than the sum of its proper divisors (159816845080).

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

120013031120 is a wasteful number, since it uses less digits than its factorization.

120013031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298823 (or 4298817 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120013031120 its reverse (21130310021), we get a palindrome (141143341141).

The spelling of 120013031120 in words is "one hundred twenty billion, thirteen million, thirty-one thousand, one hundred twenty".