12488 has 16 divisors (see below), whose sum is σ = 26880. Its totient is φ = 5328.

The previous prime is 12487. The next prime is 12491. The reversal of 12488 is 88421.

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

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹²⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

12488 is an abundant number, since it is smaller than the sum of its proper divisors (14392).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

12488 is a wasteful number, since it uses less digits than its factorization.

12488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 12488 is about 111.7497203576. The cubic root of 12488 is about 23.2005152482.

It can be divided in two parts, 124 and 88, that added together give a palindrome (212).

The spelling of 12488 in words is "twelve thousand, four hundred eighty-eight".