12742984800 has 720 divisors, whose sum is σ = 57221775072. Its totient is φ = 2687385600.

The previous prime is 12742984799. The next prime is 12742984829. The reversal of 12742984800 is 848924721.

12742984800 is a `hidden beast` number, since 12 + 74 + 2 + 98 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12742984800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5895720 + ... + 5897880.

Almost surely, 2^12742984800 is an apocalyptic number.

12742984800 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 12742984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28610887536).

12742984800 is an abundant number, since it is smaller than the sum of its proper divisors (44478790272).

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

12742984800 is a wasteful number, since it uses less digits than its factorization.

12742984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12742984800 in words is "twelve billion, seven hundred forty-two million, nine hundred eighty-four thousand, eight hundred".