12774100800 has 84 divisors (see below), whose sum is σ = 41909711456. Its totient is φ = 3406425600.

The previous prime is 12774100793. The next prime is 12774100837. The reversal of 12774100800 is 800147721.

12774100800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1325836 + ... + 1335435.

Almost surely, 2^12774100800 is an apocalyptic number.

12774100800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12774100800 is an abundant number, since it is smaller than the sum of its proper divisors (29135610656).

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

12774100800 is a wasteful number, since it uses less digits than its factorization.

12774100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661296 (or 2661281 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 12774100800 in words is "twelve billion, seven hundred seventy-four million, one hundred thousand, eight hundred".