12808106228736 has 3520 divisors, whose sum is σ = 53120578846720. Its totient is φ = 2979773153280.

The previous prime is 12808106228707. The next prime is 12808106228737. The reversal of 12808106228736 is 63782260180821.

12808106228736 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 8 + 1 + 0 + 622 + 8 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808106228737) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 191165764575 + ... + 191165764641.

It is an arithmetic number, because the mean of its divisors is an integer number (15091073536).

Almost surely, 2^{12808106228736} is an apocalyptic number.

12808106228736 is a gapful number since it is divisible by the number (16) 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 12808106228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560289423360).

12808106228736 is an abundant number, since it is smaller than the sum of its proper divisors (40312472617984).

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

12808106228736 is a wasteful number, since it uses less digits than its factorization.

12808106228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12808106228736 in words is "twelve trillion, eight hundred eight billion, one hundred six million, two hundred twenty-eight thousand, seven hundred thirty-six".