12974144 has 28 divisors (see below), whose sum is σ = 26107644. Its totient is φ = 6395904.

The previous prime is 12974119. The next prime is 12974147. The reversal of 12974144 is 44147921.

It can be written as a sum of positive squares in 2 ways, for example, as 4494400 + 8479744 = 2120^2 + 2912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12974144.

It is not an unprimeable number, because it can be changed into a prime (12974147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3284 + ... + 6060.

Almost surely, 2^12974144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053822).

12974144 is an abundant number, since it is smaller than the sum of its proper divisors (13133500).

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

12974144 is an equidigital number, since it uses as much as digits as its factorization.

12974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2852 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 12974144 is about 3601.9639087587. The cubic root of 12974144 is about 234.9774778476.

The spelling of 12974144 in words is "twelve million, nine hundred seventy-four thousand, one hundred forty-four".