12681144 has 64 divisors (see below), whose sum is σ = 40262400. Its totient is φ = 3622752.

The previous prime is 12681127. The next prime is 12681187. The reversal of 12681144 is 44118621.

It is a happy number.

It is a super-2 number, since 2×12681144² = 321622826297472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682 + ... + 5705.

It is an arithmetic number, because the mean of its divisors is an integer number (629100).

Almost surely, 2^12681144 is an apocalyptic number.

12681144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12681144 is an abundant number, since it is smaller than the sum of its proper divisors (27581256).

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

12681144 is a wasteful number, since it uses less digits than its factorization.

12681144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409 (or 8399 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12681144 is about 3561.0593929335. The cubic root of 12681144 is about 233.1951308578.

Adding to 12681144 its reverse (44118621), we get a palindrome (56799765).

The spelling of 12681144 in words is "twelve million, six hundred eighty-one thousand, one hundred forty-four".