120564920952 has 96 divisors (see below), whose sum is σ = 373246829280. Its totient is φ = 34440687360.

The previous prime is 120564920951. The next prime is 120564921007. The reversal of 120564920952 is 259029465021.

120564920952 is a `hidden beast` number, since 1 + 20 + 56 + 492 + 0 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120564920898 and 120564920907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120564920951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3116158 + ... + 3154610.

It is an arithmetic number, because the mean of its divisors is an integer number (3887987805).

Almost surely, 2^120564920952 is an apocalyptic number.

120564920952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120564920952 is an abundant number, since it is smaller than the sum of its proper divisors (252681908328).

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

120564920952 is a wasteful number, since it uses less digits than its factorization.

120564920952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44693 (or 44686 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 120564920952 in words is "one hundred twenty billion, five hundred sixty-four million, nine hundred twenty thousand, nine hundred fifty-two".