12630588100 has 72 divisors (see below), whose sum is σ = 29557248840. Its totient is φ = 4657198080.

The previous prime is 12630588059. The next prime is 12630588119. The reversal of 12630588100 is 188503621.

It can be written as a sum of positive squares in 12 ways, for example, as 4589520516 + 8041067584 = 67746^2 + 89672^2 .

It is a super-2 number, since 2×12630588100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998616 + ... + 1011184.

It is an arithmetic number, because the mean of its divisors is an integer number (410517345).

Almost surely, 2^12630588100 is an apocalyptic number.

12630588100 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 12630588100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778624420).

12630588100 is an abundant number, since it is smaller than the sum of its proper divisors (16926660740).

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

12630588100 is a wasteful number, since it uses less digits than its factorization.

12630588100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 12630588100 in words is "twelve billion, six hundred thirty million, five hundred eighty-eight thousand, one hundred".