120168720 has 240 divisors, whose sum is σ = 467505792. Its totient is φ = 27095040.

The previous prime is 120168709. The next prime is 120168743. The reversal of 120168720 is 27861021.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569415 + ... + 569625.

Almost surely, 2^120168720 is an apocalyptic number.

120168720 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 120168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233752896).

120168720 is an abundant number, since it is smaller than the sum of its proper divisors (347337072).

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

120168720 is a wasteful number, since it uses less digits than its factorization.

120168720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120168720 is about 10962.1494242689. The cubic root of 120168720 is about 493.4734728891.

It can be divided in two parts, 12016 and 8720, that added together give a 4-th power (20736 = 12⁴).

The spelling of 120168720 in words is "one hundred twenty million, one hundred sixty-eight thousand, seven hundred twenty".