12242579090784 has 192 divisors, whose sum is σ = 38681625346560. Its totient is φ = 3311993733120.

The previous prime is 12242579090771. The next prime is 12242579090831. The reversal of 12242579090784 is 48709097524221.

It is a super-3 number, since 3×12242579090784³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23503632 + ... + 24018864.

It is an arithmetic number, because the mean of its divisors is an integer number (201466798680).

Almost surely, 2^{12242579090784} is an apocalyptic number.

12242579090784 is a gapful number since it is divisible by the number (14) 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 12242579090784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19340812673280).

12242579090784 is an abundant number, since it is smaller than the sum of its proper divisors (26439046255776).

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

12242579090784 is a wasteful number, since it uses less digits than its factorization.

12242579090784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517133 (or 517125 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 12242579090784 in words is "twelve trillion, two hundred forty-two billion, five hundred seventy-nine million, ninety thousand, seven hundred eighty-four".