120015120 has 80 divisors (see below), whose sum is σ = 374118912. Its totient is φ = 31825920.

The previous prime is 120015101. The next prime is 120015131. The reversal of 120015120 is 21510021.

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

It is a super-2 number, since 2×120015120² = 28807258057228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120015096 and 120015105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45025 + ... + 47615.

Almost surely, 2^120015120 is an apocalyptic number.

120015120 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 120015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187059456).

120015120 is an abundant number, since it is smaller than the sum of its proper divisors (254103792).

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

120015120 is a wasteful number, since it uses less digits than its factorization.

120015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 120015120 is about 10955.1412587880. The cubic root of 120015120 is about 493.2631301775.

Adding to 120015120 its reverse (21510021), we get a palindrome (141525141).

The spelling of 120015120 in words is "one hundred twenty million, fifteen thousand, one hundred twenty".