12015120 has 80 divisors (see below), whose sum is σ = 40122432. Its totient is φ = 2956800.

The previous prime is 12015097. The next prime is 12015139. The reversal of 12015120 is 2151021.

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

It is a super-2 number, since 2×12015120² = 288726217228800, 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 = 12015096 and 12015105.

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, 1195 + ... + 5045.

Almost surely, 2^12015120 is an apocalyptic number.

12015120 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 12015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061216).

12015120 is an abundant number, since it is smaller than the sum of its proper divisors (28107312).

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

12015120 is a wasteful number, since it uses less digits than its factorization.

12015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3874 counting only the distinct ones).

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

The square root of 12015120 is about 3466.2833121371. The cubic root of 12015120 is about 229.0389641498.

Adding to 12015120 its reverse (2151021), we get a palindrome (14166141).

The spelling of 12015120 in words is "twelve million, fifteen thousand, one hundred twenty".