12223321331100 has 288 divisors, whose sum is σ = 40305660272640. Its totient is φ = 2833089504000.

The previous prime is 12223321331033. The next prime is 12223321331101. The reversal of 12223321331100 is 113312332221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223321331101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7771111 + ... + 9210689.

It is an arithmetic number, because the mean of its divisors is an integer number (139950209280).

Almost surely, 2^{12223321331100} is an apocalyptic number.

12223321331100 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 12223321331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152830136320).

12223321331100 is an abundant number, since it is smaller than the sum of its proper divisors (28082338941540).

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

12223321331100 is a wasteful number, since it uses less digits than its factorization.

12223321331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439721 (or 1439714 counting only the distinct ones).

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

Adding to 12223321331100 its reverse (113312332221), we get a palindrome (12336633663321).

The spelling of 12223321331100 in words is "twelve trillion, two hundred twenty-three billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred".