120003585 has 16 divisors (see below), whose sum is σ = 206775744. Its totient is φ = 59078592.

The previous prime is 120003577. The next prime is 120003593. The reversal of 120003585 is 585300021.

It is an interprime number because it is at equal distance from previous prime (120003577) and next prime (120003593).

It is not a de Polignac number, because 120003585 - 2³ = 120003577 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307507 + ... + 307896.

It is an arithmetic number, because the mean of its divisors is an integer number (12923484).

Almost surely, 2^120003585 is an apocalyptic number.

120003585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120003585 is a deficient number, since it is larger than the sum of its proper divisors (86772159).

120003585 is a wasteful number, since it uses less digits than its factorization.

120003585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615424.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 120003585 is about 10954.6147809953. The cubic root of 120003585 is about 493.2473266896.

The spelling of 120003585 in words is "one hundred twenty million, three thousand, five hundred eighty-five".