12137424 has 80 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 3654144.

The previous prime is 12137413. The next prime is 12137441. The reversal of 12137424 is 42473121.

It is a happy number.

12137424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12137424² = 294634122711552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12137394 and 12137403.

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, 32889 + ... + 33255.

Almost surely, 2^12137424 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 12137424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

12137424 is an abundant number, since it is smaller than the sum of its proper divisors (22360368).

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

12137424 is a wasteful number, since it uses less digits than its factorization.

12137424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 12137424 is about 3483.8805949688. The cubic root of 12137424 is about 229.8134845795.

It can be divided in two parts, 12137 and 424, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 12137424 in words is "twelve million, one hundred thirty-seven thousand, four hundred twenty-four".