120401520 has 80 divisors (see below), whose sum is σ = 385308672. Its totient is φ = 31069440.

The previous prime is 120401507. The next prime is 120401521. The reversal of 120401520 is 25104021.

It is a tau number, because it is divible by the number of its divisors (80).

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 120401520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 15531.

Almost surely, 2^120401520 is an apocalyptic number.

120401520 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 120401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192654336).

120401520 is an abundant number, since it is smaller than the sum of its proper divisors (264907152).

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

120401520 is a wasteful number, since it uses less digits than its factorization.

120401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16230 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 120401520 is about 10972.7626421061. The cubic root of 120401520 is about 493.7919321328.

Adding to 120401520 its reverse (25104021), we get a palindrome (145505541).

The spelling of 120401520 in words is "one hundred twenty million, four hundred one thousand, five hundred twenty".