120131280 has 60 divisors (see below), whose sum is σ = 403443300. Its totient is φ = 32034816.

The previous prime is 120131279. The next prime is 120131383. The reversal of 120131280 is 82131021.

It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 80138304 = 6324^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82705 + ... + 84144.

It is an arithmetic number, because the mean of its divisors is an integer number (6724055).

Almost surely, 2^120131280 is an apocalyptic number.

120131280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120131280 is an abundant number, since it is smaller than the sum of its proper divisors (283312020).

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

120131280 is a wasteful number, since it uses less digits than its factorization.

120131280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166868 (or 166859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120131280 is about 10960.4415969431. The cubic root of 120131280 is about 493.4222183810.

The spelling of 120131280 in words is "one hundred twenty million, one hundred thirty-one thousand, two hundred eighty".