12368849749200 has 720 divisors, whose sum is σ = 50900670053376. Its totient is φ = 2721757593600.

The previous prime is 12368849749181. The next prime is 12368849749213. The reversal of 12368849749200 is 294794886321.

12368849749200 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 88 + 497 + 49 + 20 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150730582 + ... + 150812618.

Almost surely, 2^{12368849749200} is an apocalyptic number.

12368849749200 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 12368849749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25450335026688).

12368849749200 is an abundant number, since it is smaller than the sum of its proper divisors (38531820304176).

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

12368849749200 is a wasteful number, since it uses less digits than its factorization.

12368849749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82292 (or 82278 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 12368849749200 in words is "twelve trillion, three hundred sixty-eight billion, eight hundred forty-nine million, seven hundred forty-nine thousand, two hundred".