120129975 has 72 divisors (see below), whose sum is σ = 248957280. Its totient is φ = 54236160.

The previous prime is 120129953. The next prime is 120129983. The reversal of 120129975 is 579921021.

It is not a de Polignac number, because 120129975 - 2⁸ = 120129719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139747 + ... + 140603.

It is an arithmetic number, because the mean of its divisors is an integer number (3457740).

Almost surely, 2^120129975 is an apocalyptic number.

120129975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120129975 is an abundant number, since it is smaller than the sum of its proper divisors (128827305).

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

120129975 is a wasteful number, since it uses less digits than its factorization.

120129975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 120129975 is about 10960.3820645085. The cubic root of 120129975 is about 493.4204316736.

It can be divided in two parts, 120129 and 975, that added together give a square (121104 = 348²).

The spelling of 120129975 in words is "one hundred twenty million, one hundred twenty-nine thousand, nine hundred seventy-five".