12798922752000 has 3072 divisors, whose sum is σ = 60017762488320. Its totient is φ = 2643591168000.

The previous prime is 12798922751999. The next prime is 12798922752013. The reversal of 12798922752000 is 25722989721.

12798922752000 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 8 + 92 + 27 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×12798922752000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76640255917 + ... + 76640256083.

It is an arithmetic number, because the mean of its divisors is an integer number (19537032060).

Almost surely, 2^{12798922752000} is an apocalyptic number.

12798922752000 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 12798922752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008881244160).

12798922752000 is an abundant number, since it is smaller than the sum of its proper divisors (47218839736320).

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

12798922752000 is an frugal number, since it uses more digits than its factorization.

12798922752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12798922752000 in words is "twelve trillion, seven hundred ninety-eight billion, nine hundred twenty-two million, seven hundred fifty-two thousand".