12879980100 has 405 divisors, whose sum is σ = 45681429717. Its totient is φ = 3137771520.

The previous prime is 12879980081. The next prime is 12879980101. The reversal of 12879980100 is 108997821.

The square root of 12879980100 is 113490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12362326596 + 517653504 = 111186^2 + 22752^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12879980101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 132783252 + ... + 132783348.

Almost surely, 2^12879980100 is an apocalyptic number.

12879980100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12879980100 is the 113490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12879980100

12879980100 is an abundant number, since it is smaller than the sum of its proper divisors (32801449617).

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

12879980100 is a wasteful number, since it uses less digits than its factorization.

12879980100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 12879980100 in words is "twelve billion, eight hundred seventy-nine million, nine hundred eighty thousand, one hundred".