120732145920 has 360 divisors, whose sum is σ = 434811915384. Its totient is φ = 31985860608.

The previous prime is 120732145913. The next prime is 120732145931. The reversal of 120732145920 is 29541237021.

120732145920 is a `hidden beast` number, since 1 + 20 + 7 + 32 + 14 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17058449664 + 103673696256 = 130608^2 + 321984^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 16274052 + ... + 16281468.

Almost surely, 2^120732145920 is an apocalyptic number.

120732145920 is a gapful number since it is divisible by the number (10) 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 120732145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217405957692).

120732145920 is an abundant number, since it is smaller than the sum of its proper divisors (314079769464).

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

120732145920 is an equidigital number, since it uses as much as digits as its factorization.

120732145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 120732145920 in words is "one hundred twenty billion, seven hundred thirty-two million, one hundred forty-five thousand, nine hundred twenty".