12683333440800 has 576 divisors, whose sum is σ = 50348672478720. Its totient is φ = 3055874688000.

The previous prime is 12683333440783. The next prime is 12683333440801. The reversal of 12683333440800 is 804433338621.

12683333440800 is a `hidden beast` number, since 1 + 26 + 83 + 3 + 33 + 440 + 80 + 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 (12683333440801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 38565055 + ... + 38892545.

It is an arithmetic number, because the mean of its divisors is an integer number (87410889720).

Almost surely, 2^{12683333440800} is an apocalyptic number.

12683333440800 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 12683333440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25174336239360).

12683333440800 is an abundant number, since it is smaller than the sum of its proper divisors (37665339037920).

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

12683333440800 is a wasteful number, since it uses less digits than its factorization.

12683333440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327694 (or 327675 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 12683333440800 in words is "twelve trillion, six hundred eighty-three billion, three hundred thirty-three million, four hundred forty thousand, eight hundred".