12580 has 24 divisors (see below), whose sum is σ = 28728. Its totient is φ = 4608.

The previous prime is 12577. The next prime is 12583. The reversal of 12580 is 8521.

12580 = T₂₅ + T₂₆ + ... + T₄₄.

It is a happy number.

12580 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (12577) and next prime (12583).

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 7396 = 72^2 + 86^2 .

It is a sliding number, since 12580 = 80 + 12500 and 1/80 + 1/12500 = 0.012580.

It is an Ulam number.

12580 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12583) 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 7 ways as a sum of consecutive naturals, for example, 322 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2¹²⁵⁸⁰ is an apocalyptic number.

12580 is a gapful number since it is divisible by the number (10) 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 12580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

12580 is an abundant number, since it is smaller than the sum of its proper divisors (16148).

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

12580 is a wasteful number, since it uses less digits than its factorization.

12580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12580 is about 112.1605991425. The cubic root of 12580 is about 23.2573492010.

It can be divided in two parts, 125 and 80, that multiplied together give a 4-th power (10000 = 10⁴).

The spelling of 12580 in words is "twelve thousand, five hundred eighty".