12798122342400 has 720 divisors, whose sum is σ = 47765388991320. Its totient is φ = 3386636697600.

The previous prime is 12798122342381. The next prime is 12798122342431. The reversal of 12798122342400 is 424322189721.

12798122342400 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 8 + 1 + 2 + 234 + 2 + 400 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 543271422 + ... + 543294978.

Almost surely, 2^{12798122342400} is an apocalyptic number.

12798122342400 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 12798122342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882694495660).

12798122342400 is an abundant number, since it is smaller than the sum of its proper divisors (34967266648920).

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

12798122342400 is a wasteful number, since it uses less digits than its factorization.

12798122342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23732 (or 23698 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12798122342400 in words is "twelve trillion, seven hundred ninety-eight billion, one hundred twenty-two million, three hundred forty-two thousand, four hundred".