12883816908100 has 72 divisors (see below), whose sum is σ = 28127576235528. Its totient is φ = 5122333900800.

The previous prime is 12883816908019. The next prime is 12883816908143. The reversal of 12883816908100 is 180961838821.

It can be written as a sum of positive squares in 12 ways, for example, as 3433935135744 + 9449881772356 = 1853088^2 + 3074066^2 .

It is a super-2 number, since 2×12883816908100² (a number of 27 digits) contains 22 as substring.

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, 11303974 + ... + 12391426.

It is an arithmetic number, because the mean of its divisors is an integer number (390660781049).

Almost surely, 2^{12883816908100} is an apocalyptic number.

12883816908100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12883816908100 is an abundant number, since it is smaller than the sum of its proper divisors (15243759327428).

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

12883816908100 is a wasteful number, since it uses less digits than its factorization.

12883816908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088185 (or 1088178 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 55.

The spelling of 12883816908100 in words is "twelve trillion, eight hundred eighty-three billion, eight hundred sixteen million, nine hundred eight thousand, one hundred".