12686100 has 108 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 2896320.

The previous prime is 12686081. The next prime is 12686111. The reversal of 12686100 is 168621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14269 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 2^12686100 is an apocalyptic number.

12686100 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 12686100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

12686100 is an abundant number, since it is smaller than the sum of its proper divisors (30061164).

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

12686100 is a wasteful number, since it uses less digits than its factorization.

12686100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12686100 is about 3561.7551852984. The cubic root of 12686100 is about 233.2255057341.

The spelling of 12686100 in words is "twelve million, six hundred eighty-six thousand, one hundred".