120120720 has 160 divisors (see below), whose sum is σ = 397688832. Its totient is φ = 29922816.

The previous prime is 120120713. The next prime is 120120727. The reversal of 120120720 is 27021021.

It is an interprime number because it is at equal distance from previous prime (120120713) and next prime (120120727).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120120720.

It is not an unprimeable number, because it can be changed into a prime (120120727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259209 + ... + 259671.

Almost surely, 2^120120720 is an apocalyptic number.

120120720 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 120120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198844416).

120120720 is an abundant number, since it is smaller than the sum of its proper divisors (277568112).

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

120120720 is a wasteful number, since it uses less digits than its factorization.

120120720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 120120720 is about 10959.9598539411. The cubic root of 120120720 is about 493.4077600558.

Adding to 120120720 its reverse (27021021), we get a palindrome (147141741).

The spelling of 120120720 in words is "one hundred twenty million, one hundred twenty thousand, seven hundred twenty".