12322350768 has 320 divisors, whose sum is σ = 40068546560. Its totient is φ = 3177086976.

The previous prime is 12322350757. The next prime is 12322350769. The reversal of 12322350768 is 86705322321.

12322350768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12322350769) 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 63 ways as a sum of consecutive naturals, for example, 53809278 + ... + 53809506.

It is an arithmetic number, because the mean of its divisors is an integer number (125214208).

Almost surely, 2^12322350768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322350768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034273280).

12322350768 is an abundant number, since it is smaller than the sum of its proper divisors (27746195792).

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

12322350768 is a wasteful number, since it uses less digits than its factorization.

12322350768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 12322350768 in words is "twelve billion, three hundred twenty-two million, three hundred fifty thousand, seven hundred sixty-eight".