12724 has 6 divisors (see below), whose sum is σ = 22274. Its totient is φ = 6360.

The previous prime is 12721. The next prime is 12739. The reversal of 12724 is 42721.

12724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 4624 = 90^2 + 68^2 .

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12698 and 12707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1587 + ... + 1594.

2¹²⁷²⁴ is an apocalyptic number.

It is an amenable number.

12724 is a deficient number, since it is larger than the sum of its proper divisors (9550).

12724 is a wasteful number, since it uses less digits than its factorization.

12724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3183 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 12724 is about 112.8007092176. The cubic root of 12724 is about 23.3457530254.

It can be divided in two parts, 127 and 24, that added together give a palindrome (151).

The spelling of 12724 in words is "twelve thousand, seven hundred twenty-four", and thus it is an iban number.