12315120 has 120 divisors (see below), whose sum is σ = 40320336. Its totient is φ = 3108864.

The previous prime is 12315113. The next prime is 12315131. The reversal of 12315120 is 2151321.

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

It is a super-2 number, since 2×12315120² = 303324361228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12315120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126912 + ... + 127008.

Almost surely, 2^12315120 is an apocalyptic number.

12315120 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 12315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160168).

12315120 is an abundant number, since it is smaller than the sum of its proper divisors (28005216).

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

12315120 is a wasteful number, since it uses less digits than its factorization.

12315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12315120 is about 3509.2905265880. The cubic root of 12315120 is about 230.9295713032.

Adding to 12315120 its reverse (2151321), we get a palindrome (14466441).

The spelling of 12315120 in words is "twelve million, three hundred fifteen thousand, one hundred twenty".