12224323807488 has 1728 divisors, whose sum is σ = 44020986347520. Its totient is φ = 3223270195200.

The previous prime is 12224323807433. The next prime is 12224323807513. The reversal of 12224323807488 is 88470832342221.

12224323807488 is a `hidden beast` number, since 1 + 2 + 22 + 43 + 23 + 80 + 7 + 488 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19070707648 + ... + 19070708288.

It is an arithmetic number, because the mean of its divisors is an integer number (25475107840).

Almost surely, 2^{12224323807488} is an apocalyptic number.

12224323807488 is a gapful number since it is divisible by the number (18) 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 12224323807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010493173760).

12224323807488 is an abundant number, since it is smaller than the sum of its proper divisors (31796662540032).

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

12224323807488 is a wasteful number, since it uses less digits than its factorization.

12224323807488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 12224323807488 in words is "twelve trillion, two hundred twenty-four billion, three hundred twenty-three million, eight hundred seven thousand, four hundred eighty-eight".