12774412800 has 630 divisors, whose sum is σ = 48769868763. Its totient is φ = 3314442240.

The previous prime is 12774412753. The next prime is 12774412831. The reversal of 12774412800 is 821447721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 10131630336 + 2642782464 = 100656^2 + 51408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=79920.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 345254382 + ... + 345254418.

Almost surely, 2^12774412800 is an apocalyptic number.

12774412800 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 12774412800

12774412800 is an abundant number, since it is smaller than the sum of its proper divisors (35995455963).

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

12774412800 is an frugal number, since it uses more digits than its factorization.

12774412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Multiplying 12774412800 by its product of nonzero digits (25088), we get a square (320484468326400 = 17902080²).

The spelling of 12774412800 in words is "twelve billion, seven hundred seventy-four million, four hundred twelve thousand, eight hundred".