12997152 has 144 divisors (see below), whose sum is σ = 44241120. Its totient is φ = 3701376.

The previous prime is 12997151. The next prime is 12997157. The reversal of 12997152 is 25179921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12997152² = 337851920222208, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12997151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42183 + ... + 42489.

It is an arithmetic number, because the mean of its divisors is an integer number (307230).

Almost surely, 2^12997152 is an apocalyptic number.

12997152 is a gapful number since it is divisible by the number (12) 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 12997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120560).

12997152 is an abundant number, since it is smaller than the sum of its proper divisors (31243968).

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

12997152 is a wasteful number, since it uses less digits than its factorization.

12997152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 12997152 is about 3605.1563072910. The cubic root of 12997152 is about 235.1162967457.

The spelling of 12997152 in words is "twelve million, nine hundred ninety-seven thousand, one hundred fifty-two".