12801621600 has 108 divisors (see below), whose sum is σ = 45141743556. Its totient is φ = 3413763840.

The previous prime is 12801621577. The next prime is 12801621607. The reversal of 12801621600 is 612610821.

12801621600 is a `hidden beast` number, since 1 + 28 + 0 + 16 + 21 + 600 = 666.

12801621600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801621607) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 881802 + ... + 896201.

It is an arithmetic number, because the mean of its divisors is an integer number (417979107).

Almost surely, 2^12801621600 is an apocalyptic number.

12801621600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12801621600 is an abundant number, since it is smaller than the sum of its proper divisors (32340121956).

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

12801621600 is a wasteful number, since it uses less digits than its factorization.

12801621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778029 (or 1778013 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12801621600 in words is "twelve billion, eight hundred one million, six hundred twenty-one thousand, six hundred".