12748797960192 has 2016 divisors, whose sum is σ = 47797415082144. Its totient is φ = 3250166169600.

The previous prime is 12748797960191. The next prime is 12748797960211. The reversal of 12748797960192 is 29106979784721.

12748797960192 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 8 + 7 + 9 + 7 + 9 + 601 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12748797960192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12748797960191) 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 143 ways as a sum of consecutive naturals, for example, 153599975383 + ... + 153599975465.

It is an arithmetic number, because the mean of its divisors is an integer number (23709035259).

Almost surely, 2^{12748797960192} is an apocalyptic number.

12748797960192 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 12748797960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898707541072).

12748797960192 is an abundant number, since it is smaller than the sum of its proper divisors (35048617121952).

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

12748797960192 is a wasteful number, since it uses less digits than its factorization.

12748797960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 12748797960192 in words is "twelve trillion, seven hundred forty-eight billion, seven hundred ninety-seven million, nine hundred sixty thousand, one hundred ninety-two".