12137412 has 48 divisors (see below), whose sum is σ = 32643072. Its totient is φ = 3438240.

The previous prime is 12137407. The next prime is 12137413. The reversal of 12137412 is 21473121.

12137412 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

12137412 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12137413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10453 + ... + 11555.

It is an arithmetic number, because the mean of its divisors is an integer number (680064).

Almost surely, 2^12137412 is an apocalyptic number.

12137412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12137412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321536).

12137412 is an abundant number, since it is smaller than the sum of its proper divisors (20505660).

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

12137412 is a wasteful number, since it uses less digits than its factorization.

12137412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 12137412 is about 3483.8788727509. The cubic root of 12137412 is about 229.8134088423.

The spelling of 12137412 in words is "twelve million, one hundred thirty-seven thousand, four hundred twelve".