12742144 has 40 divisors (see below), whose sum is σ = 26123328. Its totient is φ = 6205440.

The previous prime is 12742139. The next prime is 12742151. The reversal of 12742144 is 44124721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20689 + ... + 21295.

Almost surely, 2^12742144 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 12742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

12742144 is an abundant number, since it is smaller than the sum of its proper divisors (13381184).

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

12742144 is an frugal number, since it uses more digits than its factorization.

12742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 12742144 is about 3569.6139847328. The cubic root of 12742144 is about 233.5684451028.

Adding to 12742144 its reverse (44124721), we get a palindrome (56866865).

The spelling of 12742144 in words is "twelve million, seven hundred forty-two thousand, one hundred forty-four".