120531585 has 16 divisors (see below), whose sum is σ = 193590144. Its totient is φ = 64036992.

The previous prime is 120531559. The next prime is 120531589. The reversal of 120531585 is 585135021.

It is not a de Polignac number, because 120531585 - 2⁵ = 120531553 is a prime.

It is a super-2 number, since 2×120531585² = 29055725965224450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120531589) 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 15 ways as a sum of consecutive naturals, for example, 11332 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (12099384).

Almost surely, 2^120531585 is an apocalyptic number.

120531585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120531585 is a deficient number, since it is larger than the sum of its proper divisors (73058559).

120531585 is a wasteful number, since it uses less digits than its factorization.

120531585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30824.

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 120531585 is about 10978.6877631163. The cubic root of 120531585 is about 493.9696761096.

The spelling of 120531585 in words is "one hundred twenty million, five hundred thirty-one thousand, five hundred eighty-five".