120732165585 has 12 divisors (see below), whose sum is σ = 209269087092. Its totient is φ = 64390488288.

The previous prime is 120732165577. The next prime is 120732165629. The reversal of 120732165585 is 585561237021.

120732165585 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 3 + 2 + 1 + 65 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66407743809 + 54324421776 = 257697^2 + 233076^2 .

It is not a de Polignac number, because 120732165585 - 2³ = 120732165577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2682937013 = 120732165585 / (1 + 2 + 0 + 7 + 3 + 2 + 1 + 6 + 5 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 120732165585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1341468462 + ... + 1341468551.

It is an arithmetic number, because the mean of its divisors is an integer number (17439090591).

Almost surely, 2^120732165585 is an apocalyptic number.

120732165585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120732165585 is a deficient number, since it is larger than the sum of its proper divisors (88536921507).

120732165585 is a wasteful number, since it uses less digits than its factorization.

120732165585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682937024 (or 2682937021 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 120732165585 in words is "one hundred twenty billion, seven hundred thirty-two million, one hundred sixty-five thousand, five hundred eighty-five".