12799133010720 has 768 divisors, whose sum is σ = 51419225088000. Its totient is φ = 2912824406016.

The previous prime is 12799133010673. The next prime is 12799133010721. The reversal of 12799133010720 is 2701033199721.

12799133010720 is a `hidden beast` number, since 1 + 279 + 9 + 1 + 3 + 301 + 0 + 72 + 0 = 666.

It is a super-2 number, since 2×12799133010720² (a number of 27 digits) contains 22 as substring.

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 (12799133010721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11005272859 + ... + 11005274021.

It is an arithmetic number, because the mean of its divisors is an integer number (66952116000).

Almost surely, 2^{12799133010720} is an apocalyptic number.

12799133010720 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 12799133010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25709612544000).

12799133010720 is an abundant number, since it is smaller than the sum of its proper divisors (38620092077280).

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

12799133010720 is a wasteful number, since it uses less digits than its factorization.

12799133010720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 12799133010720 in words is "twelve trillion, seven hundred ninety-nine billion, one hundred thirty-three million, ten thousand, seven hundred twenty".