12688443692208 has 120 divisors (see below), whose sum is σ = 35607244770240. Its totient is φ = 4217907133440.

The previous prime is 12688443692207. The next prime is 12688443692209. The reversal of 12688443692208 is 80229634488621.

12688443692208 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 8 + 44 + 369 + 220 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12688443692207) and next prime (12688443692209).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12688443692207) 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, 213821710 + ... + 213881042.

It is an arithmetic number, because the mean of its divisors is an integer number (296727039752).

Almost surely, 2^{12688443692208} is an apocalyptic number.

12688443692208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12688443692208 is an abundant number, since it is smaller than the sum of its proper divisors (22918801078032).

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

12688443692208 is a wasteful number, since it uses less digits than its factorization.

12688443692208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63387 (or 63378 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 12688443692208 in words is "twelve trillion, six hundred eighty-eight billion, four hundred forty-three million, six hundred ninety-two thousand, two hundred eight".