12784050342720 has 336 divisors, whose sum is σ = 47415049980480. Its totient is φ = 3150882201600.

The previous prime is 12784050342709. The next prime is 12784050342787. The reversal of 12784050342720 is 2724305048721.

12784050342720 is a `hidden beast` number, since 1 + 2 + 7 + 84 + 0 + 503 + 42 + 7 + 20 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 605586 + ... + 5092625.

It is an arithmetic number, because the mean of its divisors is an integer number (141116220180).

Almost surely, 2^{12784050342720} is an apocalyptic number.

12784050342720 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 12784050342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23707524990240).

12784050342720 is an abundant number, since it is smaller than the sum of its proper divisors (34630999637760).

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

12784050342720 is a wasteful number, since it uses less digits than its factorization.

12784050342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698294 (or 5698281 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 12784050342720 in words is "twelve trillion, seven hundred eighty-four billion, fifty million, three hundred forty-two thousand, seven hundred twenty".