12981168 has 80 divisors (see below), whose sum is σ = 37696000. Its totient is φ = 4276800.

The previous prime is 12981167. The next prime is 12981169. The reversal of 12981168 is 86118921.

It is an interprime number because it is at equal distance from previous prime (12981167) and next prime (12981169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12981167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65133 + ... + 65331.

It is an arithmetic number, because the mean of its divisors is an integer number (471200).

Almost surely, 2^12981168 is an apocalyptic number.

12981168 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 12981168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848000).

12981168 is an abundant number, since it is smaller than the sum of its proper divisors (24714832).

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

12981168 is a wasteful number, since it uses less digits than its factorization.

12981168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 12981168 is about 3602.9388004794. The cubic root of 12981168 is about 235.0198745829.

The spelling of 12981168 in words is "twelve million, nine hundred eighty-one thousand, one hundred sixty-eight".