12580100 has 36 divisors (see below), whose sum is σ = 29401764. Its totient is φ = 4644480.

The previous prime is 12580093. The next prime is 12580159. The reversal of 12580100 is 108521.

It can be written as a sum of positive squares in 6 ways, for example, as 732736 + 11847364 = 856^2 + 3442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3539 + ... + 6138.

Almost surely, 2^12580100 is an apocalyptic number.

12580100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12580100 is an abundant number, since it is smaller than the sum of its proper divisors (16821664).

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

12580100 is a wasteful number, since it uses less digits than its factorization.

12580100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 12580100 is about 3546.8436672625. The cubic root of 12580100 is about 232.5741082601.

Adding to 12580100 its reverse (108521), we get a palindrome (12688621).

The spelling of 12580100 in words is "twelve million, five hundred eighty thousand, one hundred".