120107520 has 240 divisors, whose sum is σ = 449080632. Its totient is φ = 29491200.

The previous prime is 120107509. The next prime is 120107521. The reversal of 120107520 is 25701021.

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 11614464 = 10416^2 + 3408^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 120107493 and 120107502.

It is not an unprimeable number, because it can be changed into a prime (120107521) 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, 299320 + ... + 299720.

Almost surely, 2^120107520 is an apocalyptic number.

120107520 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 120107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224540316).

120107520 is an abundant number, since it is smaller than the sum of its proper divisors (328973112).

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

120107520 is a wasteful number, since it uses less digits than its factorization.

120107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120107520 is about 10959.3576454097. The cubic root of 120107520 is about 493.3896859578.

Adding to 120107520 its reverse (25701021), we get a palindrome (145808541).

The spelling of 120107520 in words is "one hundred twenty million, one hundred seven thousand, five hundred twenty".