12322101333120 has 192 divisors, whose sum is σ = 40366929052800. Its totient is φ = 3197085069312.

The previous prime is 12322101333107. The next prime is 12322101333229. The reversal of 12322101333120 is 2133310122321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284521 + ... + 4972439.

It is an arithmetic number, because the mean of its divisors is an integer number (210244422150).

Almost surely, 2^{12322101333120} is an apocalyptic number.

12322101333120 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 12322101333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183464526400).

12322101333120 is an abundant number, since it is smaller than the sum of its proper divisors (28044827719680).

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

12322101333120 is an equidigital number, since it uses as much as digits as its factorization.

12322101333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688015 (or 4687966 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12322101333120 its reverse (2133310122321), we get a palindrome (14455411455441).

The spelling of 12322101333120 in words is "twelve trillion, three hundred twenty-two billion, one hundred one million, three hundred thirty-three thousand, one hundred twenty".