120504960 has 96 divisors (see below), whose sum is σ = 416138580. Its totient is φ = 32133120.

The previous prime is 120504949. The next prime is 120504991. The reversal of 120504960 is 69405021.

120504960 is a `hidden beast` number, since 120 + 50 + 496 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120297024 + 207936 = 10968^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 4701 + ... + 16220.

Almost surely, 2^120504960 is an apocalyptic number.

120504960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120504960 is an abundant number, since it is smaller than the sum of its proper divisors (295633620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120504960 is a wasteful number, since it uses less digits than its factorization.

120504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946 (or 20931 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120504960 is about 10977.4751195345. The cubic root of 120504960 is about 493.9333013808.

Adding to 120504960 its reverse (69405021), we get a palindrome (189909981).

The spelling of 120504960 in words is "one hundred twenty million, five hundred four thousand, nine hundred sixty".