12198793830912 has 480 divisors, whose sum is σ = 38235931493760. Its totient is φ = 3721774694400.

The previous prime is 12198793830901. The next prime is 12198793830941. The reversal of 12198793830912 is 21903839789121.

12198793830912 is a `hidden beast` number, since 1 + 219 + 8 + 79 + 38 + 309 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12198793830912.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7317811903 + ... + 7317813569.

It is an arithmetic number, because the mean of its divisors is an integer number (79658190612).

Almost surely, 2^{12198793830912} is an apocalyptic number.

12198793830912 is a gapful number since it is divisible by the number (12) 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 12198793830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117965746880).

12198793830912 is an abundant number, since it is smaller than the sum of its proper divisors (26037137662848).

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

12198793830912 is a wasteful number, since it uses less digits than its factorization.

12198793830912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 12198793830912 in words is "twelve trillion, one hundred ninety-eight billion, seven hundred ninety-three million, eight hundred thirty thousand, nine hundred twelve".