12233321222100 has 288 divisors, whose sum is σ = 39834319773696. Its totient is φ = 2872554969600.

The previous prime is 12233321222093. The next prime is 12233321222107. The reversal of 12233321222100 is 122212333221.

It is an interprime number because it is at equal distance from previous prime (12233321222093) and next prime (12233321222107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233321222107) 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, 27003657 + ... + 27452943.

Almost surely, 2^{12233321222100} is an apocalyptic number.

12233321222100 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 12233321222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917159886848).

12233321222100 is an abundant number, since it is smaller than the sum of its proper divisors (27600998551596).

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

12233321222100 is a wasteful number, since it uses less digits than its factorization.

12233321222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449575 (or 449568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12233321222100 its reverse (122212333221), we get a palindrome (12355533555321).

It can be divided in two parts, 12233321 and 222100, that added together give a palindrome (12455421).

The spelling of 12233321222100 in words is "twelve trillion, two hundred thirty-three billion, three hundred twenty-one million, two hundred twenty-two thousand, one hundred".