12492144 has 180 divisors, whose sum is σ = 43930224. Its totient is φ = 3359232.

The previous prime is 12492131. The next prime is 12492169. The reversal of 12492144 is 44129421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734824 + ... + 734840.

Almost surely, 2^12492144 is an apocalyptic number.

12492144 is a gapful number since it is divisible by the number (14) 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 12492144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965112).

12492144 is an abundant number, since it is smaller than the sum of its proper divisors (31438080).

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

12492144 is an frugal number, since it uses more digits than its factorization.

12492144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12492144 is about 3534.4227251420. The cubic root of 12492144 is about 232.0308123959.

The spelling of 12492144 in words is "twelve million, four hundred ninety-two thousand, one hundred forty-four".