12799628100 has 720 divisors, whose sum is σ = 51421708800. Its totient is φ = 2743372800.

The previous prime is 12799628089. The next prime is 12799628119. The reversal of 12799628100 is 182699721.

12799628100 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 9 + 628 + 10 + 0 = 666.

It is a super-2 number, since 2×12799628100² (a number of 21 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 47230965 + ... + 47231235.

It is an arithmetic number, because the mean of its divisors is an integer number (71419040).

Almost surely, 2^12799628100 is an apocalyptic number.

12799628100 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 12799628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710854400).

12799628100 is an abundant number, since it is smaller than the sum of its proper divisors (38622080700).

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

12799628100 is a wasteful number, since it uses less digits than its factorization.

12799628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12799628100 in words is "twelve billion, seven hundred ninety-nine million, six hundred twenty-eight thousand, one hundred".