120725120 has 32 divisors (see below), whose sum is σ = 288610020. Its totient is φ = 48289792.

The previous prime is 120725113. The next prime is 120725131. The reversal of 120725120 is 21527021.

It can be written as a sum of positive squares in 2 ways, for example, as 118897216 + 1827904 = 10904^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120725092 and 120725101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93677 + ... + 94956.

Almost surely, 2^120725120 is an apocalyptic number.

120725120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120725120 is an abundant number, since it is smaller than the sum of its proper divisors (167884900).

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

120725120 is an equidigital number, since it uses as much as digits as its factorization.

120725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188652 (or 188640 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 120725120 is about 10987.4983503981. The cubic root of 120725120 is about 494.2339202605.

The spelling of 120725120 in words is "one hundred twenty million, seven hundred twenty-five thousand, one hundred twenty".