12322113120100 has 144 divisors (see below), whose sum is σ = 32052713995008. Its totient is φ = 4020101775360.

The previous prime is 12322113120091. The next prime is 12322113120127. The reversal of 12322113120100 is 102131122321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124532 + ... + 5090068.

It is an arithmetic number, because the mean of its divisors is an integer number (222588291632).

Almost surely, 2^{12322113120100} is an apocalyptic number.

12322113120100 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 12322113120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026356997504).

12322113120100 is an abundant number, since it is smaller than the sum of its proper divisors (19730600874908).

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

12322113120100 is a wasteful number, since it uses less digits than its factorization.

12322113120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965774 (or 3965767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12322113120100 its reverse (102131122321), we get a palindrome (12424244242421).

The spelling of 12322113120100 in words is "twelve trillion, three hundred twenty-two billion, one hundred thirteen million, one hundred twenty thousand, one hundred".