12615120 has 120 divisors (see below), whose sum is σ = 48437376. Its totient is φ = 2882304.

The previous prime is 12615101. The next prime is 12615121. The reversal of 12615120 is 2151621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12615120² = 318282505228800, which contains 22 as substring.

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 = 12615093 and 12615102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12615121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3789 + ... + 6291.

Almost surely, 2^12615120 is an apocalyptic number.

12615120 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 12615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218688).

12615120 is an abundant number, since it is smaller than the sum of its proper divisors (35822256).

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

12615120 is a wasteful number, since it uses less digits than its factorization.

12615120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12615120 is about 3551.7770200281. Note that the first 3 decimals coincide. The cubic root of 12615120 is about 232.7897186092.

Adding to 12615120 its reverse (2151621), we get a palindrome (14766741).

The spelling of 12615120 in words is "twelve million, six hundred fifteen thousand, one hundred twenty".