12695300800 has 672 divisors, whose sum is σ = 42669268992. Its totient is φ = 3600875520.

The previous prime is 12695300771. The next prime is 12695300819. The reversal of 12695300800 is 800359621.

12695300800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12695300800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56929489 + ... + 56929711.

It is an arithmetic number, because the mean of its divisors is an integer number (63495936).

Almost surely, 2^12695300800 is an apocalyptic number.

12695300800 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 12695300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21334634496).

12695300800 is an abundant number, since it is smaller than the sum of its proper divisors (29973968192).

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

12695300800 is a wasteful number, since it uses less digits than its factorization.

12695300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 12695300800 in words is "twelve billion, six hundred ninety-five million, three hundred thousand, eight hundred".