12492 has 18 divisors (see below), whose sum is σ = 31668. Its totient is φ = 4152.

The previous prime is 12491. The next prime is 12497. The reversal of 12492 is 29421.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138 + ... + 209.

12492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12492 is an abundant number, since it is smaller than the sum of its proper divisors (19176).

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

12492 is a wasteful number, since it uses less digits than its factorization.

12492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 12492 is about 111.7676160612. The cubic root of 12492 is about 23.2029920834.

It can be divided in two parts, 124 and 92, that added together give a cube (216 = 6³).

The spelling of 12492 in words is "twelve thousand, four hundred ninety-two".