12686534100 has 108 divisors (see below), whose sum is σ = 40840079644. Its totient is φ = 3291632640.

The previous prime is 12686534071. The next prime is 12686534117. The reversal of 12686534100 is 143568621.

It is a happy number.

12686534100 is a `hidden beast` number, since 12 + 6 + 8 + 6 + 534 + 100 = 666.

12686534100 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 6 ways, for example, as 2063521476 + 10623012624 = 45426^2 + 103068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157189 + ... + 223788.

Almost surely, 2^12686534100 is an apocalyptic number.

12686534100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12686534100 is an abundant number, since it is smaller than the sum of its proper divisors (28153545544).

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

12686534100 is a wasteful number, since it uses less digits than its factorization.

12686534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381034 (or 381024 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12686534100 in words is "twelve billion, six hundred eighty-six million, five hundred thirty-four thousand, one hundred".