120541624931025 has 81 divisors (see below), whose sum is σ = 224204301929361. Its totient is φ = 64286495134560.

The previous prime is 120541624931017. The next prime is 120541624931027. The reversal of 120541624931025 is 520139426145021.

The square root of 120541624931025 is 10979145.

It is a perfect power (a square), and thus also a powerful number.

120541624931025 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 4 + 1 + 624 + 9 + 3 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13676808979089 + 106864815951936 = 3698217^2 + 10337544^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 120541624931025 - 2³ = 120541624931017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (120541624931027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4446540171 + ... + 4446567279.

Almost surely, 2^{120541624931025} is an apocalyptic number.

120541624931025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120541624931025 is the 10979145-th square number.

120541624931025 is the 5489573-rd centered octagonal number.

It is an amenable number.

120541624931025 is a deficient number, since it is larger than the sum of its proper divisors (103662676998336).

120541624931025 is an frugal number, since it uses more digits than its factorization.

120541624931025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54252 (or 27117 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 120541624931025 in words is "one hundred twenty trillion, five hundred forty-one billion, six hundred twenty-four million, nine hundred thirty-one thousand, twenty-five".