12315168 has 72 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 4032000.

The previous prime is 12315161. The next prime is 12315187. The reversal of 12315168 is 86151321.

12315168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 121104 = 3492^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12315161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17218 + ... + 17918.

Almost surely, 2^12315168 is an apocalyptic number.

12315168 is a gapful number since it is divisible by the number (18) 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 12315168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823078).

12315168 is an abundant number, since it is smaller than the sum of its proper divisors (23330988).

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

12315168 is a wasteful number, since it uses less digits than its factorization.

12315168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 12315168 is about 3509.2973655705. The cubic root of 12315168 is about 230.9298713302.

Adding to 12315168 its reverse (86151321), we get a palindrome (98466489).

The spelling of 12315168 in words is "twelve million, three hundred fifteen thousand, one hundred sixty-eight".