120788520 has 64 divisors (see below), whose sum is σ = 363579840. Its totient is φ = 32102400.

The previous prime is 120788513. The next prime is 120788531. The reversal of 120788520 is 25887021.

120788520 is nontrivially palindromic in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38200 + ... + 41240.

It is an arithmetic number, because the mean of its divisors is an integer number (5680935).

Almost surely, 2^120788520 is an apocalyptic number.

120788520 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 120788520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181789920).

120788520 is an abundant number, since it is smaller than the sum of its proper divisors (242791320).

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

120788520 is a wasteful number, since it uses less digits than its factorization.

120788520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 120788520 is about 10990.3830688471. The cubic root of 120788520 is about 494.3204224095.

The spelling of 120788520 in words is "one hundred twenty million, seven hundred eighty-eight thousand, five hundred twenty".