12374144 has 32 divisors (see below), whose sum is σ = 24811500. Its totient is φ = 6147072.

The previous prime is 12374143. The next prime is 12374179. The reversal of 12374144 is 44147321.

12374144 = T₇₂ + T₇₃ + ... + T₄₂₀.

It can be written as a sum of positive squares in 2 ways, for example, as 12334144 + 40000 = 3512^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×12374144³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12374143) 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, 35282 + ... + 35630.

Almost surely, 2^12374144 is an apocalyptic number.

It is an amenable number.

12374144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12374144 is an equidigital number, since it uses as much as digits as its factorization.

12374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 12374144 is about 3517.6901512214. The cubic root of 12374144 is about 231.2979171218.

The spelling of 12374144 in words is "twelve million, three hundred seventy-four thousand, one hundred forty-four".