12806509100 has 72 divisors (see below), whose sum is σ = 34647449088. Its totient is φ = 3991636800.

The previous prime is 12806509073. The next prime is 12806509103. The reversal of 12806509100 is 190560821.

It is not an unprimeable number, because it can be changed into a prime (12806509103) by changing a digit.

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, 823892 + ... + 839291.

Almost surely, 2^12806509100 is an apocalyptic number.

12806509100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12806509100 is an abundant number, since it is smaller than the sum of its proper divisors (21840939988).

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

12806509100 is a wasteful number, since it uses less digits than its factorization.

12806509100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663215 (or 1663208 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 12806509100 in words is "twelve billion, eight hundred six million, five hundred nine thousand, one hundred".