12322113120 has 384 divisors, whose sum is σ = 45008732160. Its totient is φ = 3144960000.

The previous prime is 12322113107. The next prime is 12322113197. The reversal of 12322113120 is 2131122321.

It is a super-2 number, since 2×12322113120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12322113093 and 12322113102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13525465 + ... + 13526375.

It is an arithmetic number, because the mean of its divisors is an integer number (117210240).

Almost surely, 2^12322113120 is an apocalyptic number.

12322113120 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 12322113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504366080).

12322113120 is an abundant number, since it is smaller than the sum of its proper divisors (32686619040).

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

12322113120 is a wasteful number, since it uses less digits than its factorization.

12322113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12322113120 its reverse (2131122321), we get a palindrome (14453235441).

The spelling of 12322113120 in words is "twelve billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred twenty".