120758121 has 63 divisors (see below), whose sum is σ = 204534183. Its totient is φ = 71208720.

The previous prime is 120758083. The next prime is 120758153. The reversal of 120758121 is 121857021.

The square root of 120758121 is 10989.

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

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 12702096 = 10395^2 + 3564^2 .

It is not a de Polignac number, because 120758121 - 2¹⁹ = 120233833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120758171) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3263715 + ... + 3263751.

Almost surely, 2^120758121 is an apocalyptic number.

120758121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120758121 is the 10989-th square number.

120758121 is the 5495-th centered octagonal number.

It is an amenable number.

120758121 is a deficient number, since it is larger than the sum of its proper divisors (83776062).

120758121 is an frugal number, since it uses more digits than its factorization.

120758121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The cubic root of 120758121 is about 494.2789501810.

The spelling of 120758121 in words is "one hundred twenty million, seven hundred fifty-eight thousand, one hundred twenty-one".