120738585 has 32 divisors (see below), whose sum is σ = 216450432. Its totient is φ = 56954880.

The previous prime is 120738551. The next prime is 120738587. The reversal of 120738585 is 585837021.

It is not a de Polignac number, because 120738585 - 2¹² = 120734489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120738587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3784 + ... + 15993.

It is an arithmetic number, because the mean of its divisors is an integer number (6764076).

Almost surely, 2^120738585 is an apocalyptic number.

120738585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120738585 is a deficient number, since it is larger than the sum of its proper divisors (95711847).

120738585 is a wasteful number, since it uses less digits than its factorization.

120738585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833.

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 120738585 is about 10988.1110751575. Note that the first 3 decimals coincide. The cubic root of 120738585 is about 494.2522942668.

The spelling of 120738585 in words is "one hundred twenty million, seven hundred thirty-eight thousand, five hundred eighty-five".