12636008100 has 135 divisors (see below), whose sum is σ = 40993767507. Its totient is φ = 3366904320.

The previous prime is 12636008069. The next prime is 12636008107. The reversal of 12636008100 is 180063621.

The square root of 12636008100 is 112410.

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

12636008100 is a `hidden beast` number, since 12 + 636 + 0 + 0 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 674648676 + 11961359424 = 25974^2 + 109368^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×12636008100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12636008107) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10116276 + ... + 10117524.

Almost surely, 2^12636008100 is an apocalyptic number.

12636008100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12636008100 is the 112410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12636008100

12636008100 is an abundant number, since it is smaller than the sum of its proper divisors (28357759407).

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

12636008100 is an equidigital number, since it uses as much as digits as its factorization.

12636008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12636008100 in words is "twelve billion, six hundred thirty-six million, eight thousand, one hundred".