12688425800 has 192 divisors, whose sum is σ = 31051762560. Its totient is φ = 4817664000.

The previous prime is 12688425787. The next prime is 12688425809. The reversal of 12688425800 is 852488621.

It is a super-2 number, since 2×12688425800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12688425809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70101710 + ... + 70101890.

It is an arithmetic number, because the mean of its divisors is an integer number (161727930).

Almost surely, 2^12688425800 is an apocalyptic number.

12688425800 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 12688425800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15525881280).

12688425800 is an abundant number, since it is smaller than the sum of its proper divisors (18363336760).

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

12688425800 is a wasteful number, since it uses less digits than its factorization.

12688425800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 12688425800 in words is "twelve billion, six hundred eighty-eight million, four hundred twenty-five thousand, eight hundred".