222122133200 has 120 divisors (see below), whose sum is σ = 584729137440. Its totient is φ = 80415500800.

The previous prime is 222122133197. The next prime is 222122133217. The reversal of 222122133200 is 2331221222.

It is a happy number.

222122133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887606 + ... + 1109994.

It is an arithmetic number, because the mean of its divisors is an integer number (4872742812).

Almost surely, 2^222122133200 is an apocalyptic number.

222122133200 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 222122133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292364568720).

222122133200 is an abundant number, since it is smaller than the sum of its proper divisors (362607004240).

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

222122133200 is a wasteful number, since it uses less digits than its factorization.

222122133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222645 (or 222634 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 222122133200 its reverse (2331221222), we get a palindrome (224453354422).

The spelling of 222122133200 in words is "two hundred twenty-two billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred".