120053125 has 24 divisors (see below), whose sum is σ = 153880776. Its totient is φ = 93600000.

The previous prime is 120053113. The next prime is 120053149. The reversal of 120053125 is 521350021.

It can be written as a sum of positive squares in 12 ways, for example, as 90307009 + 29746116 = 9503^2 + 5454^2 .

It is not a de Polignac number, because 120053125 - 2⁵ = 120053093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127657 + ... + 128593.

It is an arithmetic number, because the mean of its divisors is an integer number (6411699).

Almost surely, 2^120053125 is an apocalyptic number.

It is an amenable number.

120053125 is a deficient number, since it is larger than the sum of its proper divisors (33827651).

120053125 is an frugal number, since it uses more digits than its factorization.

120053125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 120053125 is about 10956.8756951971. The cubic root of 120053125 is about 493.3151916367.

It can be divided in two parts, 12005 and 3125, that multiplied together give a square (37515625 = 6125²).

The spelling of 120053125 in words is "one hundred twenty million, fifty-three thousand, one hundred twenty-five".