22032312221100 has 288 divisors, whose sum is σ = 64910310474240. Its totient is φ = 5769033431040.

The previous prime is 22032312221057. The next prime is 22032312221173. The reversal of 22032312221100 is 112221323022.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7254628782 + ... + 7254631818.

It is an arithmetic number, because the mean of its divisors is an integer number (225383022480).

Almost surely, 2^{22032312221100} is an apocalyptic number.

22032312221100 is a gapful number since it is divisible by the number (20) 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 22032312221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455155237120).

22032312221100 is an abundant number, since it is smaller than the sum of its proper divisors (42877998253140).

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

22032312221100 is a wasteful number, since it uses less digits than its factorization.

22032312221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22032312221100 its reverse (112221323022), we get a palindrome (22144533544122).

The spelling of 22032312221100 in words is "twenty-two trillion, thirty-two billion, three hundred twelve million, two hundred twenty-one thousand, one hundred".