120416520 has 96 divisors (see below), whose sum is σ = 420249600. Its totient is φ = 27522432.

The previous prime is 120416473. The next prime is 120416521. The reversal of 120416520 is 25614021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120416521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4360 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (4377600).

Almost surely, 2^120416520 is an apocalyptic number.

120416520 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 120416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210124800).

120416520 is an abundant number, since it is smaller than the sum of its proper divisors (299833080).

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

120416520 is a wasteful number, since it uses less digits than its factorization.

120416520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20507 (or 20496 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120416520 is about 10973.4461314575. The cubic root of 120416520 is about 493.8124373319.

The spelling of 120416520 in words is "one hundred twenty million, four hundred sixteen thousand, five hundred twenty".