12312144 has 60 divisors (see below), whose sum is σ = 37113076. Its totient is φ = 3787776.

The previous prime is 12312143. The next prime is 12312149. The reversal of 12312144 is 44121321.

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 4359744 = 2820^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417 + ... + 5160.

Almost surely, 2^12312144 is an apocalyptic number.

It is an amenable number.

12312144 is an abundant number, since it is smaller than the sum of its proper divisors (24800932).

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

12312144 is a wasteful number, since it uses less digits than its factorization.

12312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6595 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12312144 is about 3508.8664836383. The cubic root of 12312144 is about 230.9109681073.

Adding to 12312144 its reverse (44121321), we get a palindrome (56433465).

It can be divided in two parts, 1231 and 2144, that added together give a cube (3375 = 15³).

The spelling of 12312144 in words is "twelve million, three hundred twelve thousand, one hundred forty-four".