12685831906100 has 72 divisors (see below), whose sum is σ = 27809525290008. Its totient is φ = 5022517248000.

The previous prime is 12685831906093. The next prime is 12685831906117. The reversal of 12685831906100 is 160913858621.

It can be written as a sum of positive squares in 12 ways, for example, as 1162821468964 + 11523010437136 = 1078342^2 + 3394556^2 .

It is a super-2 number, since 2×12685831906100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32296484 + ... + 32686916.

Almost surely, 2^{12685831906100} is an apocalyptic number.

12685831906100 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 12685831906100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904762645004).

12685831906100 is an abundant number, since it is smaller than the sum of its proper divisors (15123693383908).

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

12685831906100 is a wasteful number, since it uses less digits than its factorization.

12685831906100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393765 (or 393758 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 12685831906100 in words is "twelve trillion, six hundred eighty-five billion, eight hundred thirty-one million, nine hundred six thousand, one hundred".