22221211111200 has 432 divisors, whose sum is σ = 80474761785600. Its totient is φ = 5767534848000.

The previous prime is 22221211111163. The next prime is 22221211111201. The reversal of 22221211111200 is 211111212222.

22221211111200 is a `hidden beast` number, since 22 + 221 + 211 + 1 + 11 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22221211111201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42645841 + ... + 43163759.

It is an arithmetic number, because the mean of its divisors is an integer number (186284170800).

Almost surely, 2^{22221211111200} is an apocalyptic number.

22221211111200 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 22221211111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40237380892800).

22221211111200 is an abundant number, since it is smaller than the sum of its proper divisors (58253550674400).

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

22221211111200 is a wasteful number, since it uses less digits than its factorization.

22221211111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518105 (or 518089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22221211111200 its reverse (211111212222), we get a palindrome (22432322323422).

The spelling of 22221211111200 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, two hundred".