22211222221200 has 240 divisors, whose sum is σ = 75519461712960. Its totient is φ = 5560949391360.

The previous prime is 22211222221193. The next prime is 22211222221211. The reversal of 22211222221200 is 212222211222.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7012567 + ... + 9674633.

It is an arithmetic number, because the mean of its divisors is an integer number (314664423804).

Almost surely, 2^{22211222221200} is an apocalyptic number.

22211222221200 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 22211222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37759730856480).

22211222221200 is an abundant number, since it is smaller than the sum of its proper divisors (53308239491760).

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

22211222221200 is a wasteful number, since it uses less digits than its factorization.

22211222221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662514 (or 2662503 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22211222221200 its reverse (212222211222), we get a palindrome (22423444432422).

The spelling of 22211222221200 in words is "twenty-two trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".