12137892 has 48 divisors (see below), whose sum is σ = 31563840. Its totient is φ = 3604608.

The previous prime is 12137861. The next prime is 12137899. The reversal of 12137892 is 29873121.

12137892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12137899) 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, 3183 + ... + 5865.

It is an arithmetic number, because the mean of its divisors is an integer number (657580).

Almost surely, 2^12137892 is an apocalyptic number.

12137892 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 12137892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781920).

12137892 is an abundant number, since it is smaller than the sum of its proper divisors (19425948).

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

12137892 is a wasteful number, since it uses less digits than its factorization.

12137892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2730 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 12137892 is about 3483.9477608024. The cubic root of 12137892 is about 229.8164382905.

The spelling of 12137892 in words is "twelve million, one hundred thirty-seven thousand, eight hundred ninety-two".