12680 has 16 divisors (see below), whose sum is σ = 28620. Its totient is φ = 5056.

The previous prime is 12671. The next prime is 12689. The reversal of 12680 is 8621.

It is an interprime number because it is at equal distance from previous prime (12671) and next prime (12689).

It can be written as a sum of positive squares in 2 ways, for example, as 11236 + 1444 = 106^2 + 38^2 .

It is an Ulam number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12689) by changing a digit.

12680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 119 + ... + 198.

2¹²⁶⁸⁰ is an apocalyptic number.

12680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12680 is an abundant number, since it is smaller than the sum of its proper divisors (15940).

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 (14310).

12680 is a wasteful number, since it uses less digits than its factorization.

12680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12680 is about 112.6055060821. The cubic root of 12680 is about 23.3188118261.

The spelling of 12680 in words is "twelve thousand, six hundred eighty".