120505365 has 24 divisors (see below), whose sum is σ = 210912000. Its totient is φ = 63643104.

The previous prime is 120505327. The next prime is 120505373. The reversal of 120505365 is 563505021.

120505365 is a `hidden beast` number, since 120 + 5 + 0 + 536 + 5 = 666.

It is not a de Polignac number, because 120505365 - 2²⁰ = 119456789 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8365 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (8788000).

Almost surely, 2^120505365 is an apocalyptic number.

120505365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120505365 is a deficient number, since it is larger than the sum of its proper divisors (90406635).

120505365 is a wasteful number, since it uses less digits than its factorization.

120505365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26113 (or 26110 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 120505365 is about 10977.4935663839. The cubic root of 120505365 is about 493.9338547267.

The spelling of 120505365 in words is "one hundred twenty million, five hundred five thousand, three hundred sixty-five".