120013524 has 54 divisors (see below), whose sum is σ = 313559610. Its totient is φ = 38702880.

The previous prime is 120013511. The next prime is 120013529. The reversal of 120013524 is 425310021.

It can be written as a sum of positive squares in only one way, i.e., 70056900 + 49956624 = 8370^2 + 7068^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120013497 and 120013506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32862 + ... + 36330.

Almost surely, 2^120013524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120013524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156779805).

120013524 is an abundant number, since it is smaller than the sum of its proper divisors (193546086).

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

120013524 is a wasteful number, since it uses less digits than its factorization.

120013524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120013524 is about 10955.0684160347. The cubic root of 120013524 is about 493.2609436434.

Adding to 120013524 its reverse (425310021), we get a palindrome (545323545).

The spelling of 120013524 in words is "one hundred twenty million, thirteen thousand, five hundred twenty-four".