12322319892480 has 1344 divisors, whose sum is σ = 49291189234560. Its totient is φ = 2935341711360.

The previous prime is 12322319892473. The next prime is 12322319892481. The reversal of 12322319892480 is 8429891322321.

12322319892480 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 319 + 89 + 248 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322319892481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 397494190065 + ... + 397494190095.

It is an arithmetic number, because the mean of its divisors is an integer number (36674991990).

Almost surely, 2^{12322319892480} is an apocalyptic number.

12322319892480 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 12322319892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645594617280).

12322319892480 is an abundant number, since it is smaller than the sum of its proper divisors (36968869342080).

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

12322319892480 is an frugal number, since it uses more digits than its factorization.

12322319892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12322319892480 in words is "twelve trillion, three hundred twenty-two billion, three hundred nineteen million, eight hundred ninety-two thousand, four hundred eighty".