12724966800 has 1080 divisors, whose sum is σ = 57423824640. Its totient is φ = 2583705600.

The previous prime is 12724966757. The next prime is 12724966861. The reversal of 12724966800 is 866942721.

It is a happy number.

12724966800 is a `hidden beast` number, since 12 + 72 + 496 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×12724966800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 71089111 + ... + 71089289.

It is an arithmetic number, because the mean of its divisors is an integer number (53170208).

Almost surely, 2^12724966800 is an apocalyptic number.

12724966800 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 12724966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28711912320).

12724966800 is an abundant number, since it is smaller than the sum of its proper divisors (44698857840).

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

12724966800 is a wasteful number, since it uses less digits than its factorization.

12724966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12724966800 in words is "twelve billion, seven hundred twenty-four million, nine hundred sixty-six thousand, eight hundred".