120480165 has 24 divisors (see below), whose sum is σ = 224897400. Its totient is φ = 59313024.

The previous prime is 120480163. The next prime is 120480193. The reversal of 120480165 is 561084021.

120480165 is a `hidden beast` number, since 1 + 20 + 480 + 165 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314721 + 120165444 = 561^2 + 10962^2 .

It is not a de Polignac number, because 120480165 - 2¹ = 120480163 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120480161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102390 + ... + 103559.

It is an arithmetic number, because the mean of its divisors is an integer number (9370725).

Almost surely, 2^120480165 is an apocalyptic number.

120480165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120480165 is a deficient number, since it is larger than the sum of its proper divisors (104417235).

120480165 is a wasteful number, since it uses less digits than its factorization.

120480165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205973 (or 205970 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120480165 is about 10976.3457033751. The cubic root of 120480165 is about 493.8994219558.

The spelling of 120480165 in words is "one hundred twenty million, four hundred eighty thousand, one hundred sixty-five".