120720015360 has 1200 divisors, whose sum is σ = 520690173696. Its totient is φ = 26159874048.

The previous prime is 120720015359. The next prime is 120720015439. The reversal of 120720015360 is 63510027021.

It is a happy number.

120720015360 is a `hidden beast` number, since 120 + 7 + 2 + 0 + 0 + 1 + 536 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 1068318664 + ... + 1068318776.

Almost surely, 2^120720015360 is an apocalyptic number.

120720015360 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 120720015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260345086848).

120720015360 is an abundant number, since it is smaller than the sum of its proper divisors (399970158336).

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

120720015360 is an equidigital number, since it uses as much as digits as its factorization.

120720015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 120720015360 in words is "one hundred twenty billion, seven hundred twenty million, fifteen thousand, three hundred sixty".