12249734716800 has 3840 divisors, whose sum is σ = 59026244935680. Its totient is φ = 2434970419200.

The previous prime is 12249734716781. The next prime is 12249734716811. The reversal of 12249734716800 is 861743794221.

12249734716800 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 97 + 3 + 471 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 21992342122 + ... + 21992342678.

It is an arithmetic number, because the mean of its divisors is an integer number (15371417952).

Almost surely, 2^{12249734716800} is an apocalyptic number.

12249734716800 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 12249734716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29513122467840).

12249734716800 is an abundant number, since it is smaller than the sum of its proper divisors (46776510218880).

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

12249734716800 is a wasteful number, since it uses less digits than its factorization.

12249734716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12249734716800 in words is "twelve trillion, two hundred forty-nine billion, seven hundred thirty-four million, seven hundred sixteen thousand, eight hundred".