120648600576 has 220 divisors, whose sum is σ = 411750905808. Its totient is φ = 34470862848.

The previous prime is 120648600557. The next prime is 120648600577. The reversal of 120648600576 is 675006846021.

120648600576 is a `hidden beast` number, since 12 + 0 + 6 + 4 + 8 + 60 + 0 + 576 = 666.

120648600576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (120648600577) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476710 + ... + 684506.

Almost surely, 2^120648600576 is an apocalyptic number.

120648600576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120648600576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205875452904).

120648600576 is an abundant number, since it is smaller than the sum of its proper divisors (291102305232).

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

120648600576 is an equidigital number, since it uses as much as digits as its factorization.

120648600576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207836 (or 207809 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 120648600576 in words is "one hundred twenty billion, six hundred forty-eight million, six hundred thousand, five hundred seventy-six".