12744106048800 has 432 divisors, whose sum is σ = 51506825977152. Its totient is φ = 2904539904000.

The previous prime is 12744106048781. The next prime is 12744106048801. The reversal of 12744106048800 is 884060144721.

12744106048800 is a `hidden beast` number, since 1 + 2 + 74 + 41 + 0 + 60 + 488 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12744106048801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17124450 + ... + 17853150.

It is an arithmetic number, because the mean of its divisors is an integer number (119228763836).

Almost surely, 2^{12744106048800} is an apocalyptic number.

12744106048800 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 12744106048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25753412988576).

12744106048800 is an abundant number, since it is smaller than the sum of its proper divisors (38762719928352).

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

12744106048800 is a wasteful number, since it uses less digits than its factorization.

12744106048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729081 (or 729065 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12744106048800 in words is "twelve trillion, seven hundred forty-four billion, one hundred six million, forty-eight thousand, eight hundred".