12638950900 has 72 divisors (see below), whose sum is σ = 29087263296. Its totient is φ = 4750425600.

The previous prime is 12638950889. The next prime is 12638950931. The reversal of 12638950900 is 905983621.

It is a happy number.

It is a super-2 number, since 2×12638950900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1094155 + ... + 1105645.

It is an arithmetic number, because the mean of its divisors is an integer number (403989768).

Almost surely, 2^12638950900 is an apocalyptic number.

12638950900 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 12638950900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543631648).

12638950900 is an abundant number, since it is smaller than the sum of its proper divisors (16448312396).

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

12638950900 is a wasteful number, since it uses less digits than its factorization.

12638950900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 12638950900 in words is "twelve billion, six hundred thirty-eight million, nine hundred fifty thousand, nine hundred".