22111201111200 has 144 divisors (see below), whose sum is σ = 71976107921760. Its totient is φ = 5895980446720.

The previous prime is 22111201111177. The next prime is 22111201111291. The reversal of 22111201111200 is 211110211122.

It is a happy number.

It is a super-2 number, since 2×22111201111200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22111201111200.

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 23 ways as a sum of consecutive naturals, for example, 42840271 + ... + 43353329.

It is an arithmetic number, because the mean of its divisors is an integer number (499834082790).

Almost surely, 2^{22111201111200} is an apocalyptic number.

22111201111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111201111200 is an abundant number, since it is smaller than the sum of its proper divisors (49864906810560).

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

22111201111200 is a wasteful number, since it uses less digits than its factorization.

22111201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531039 (or 531026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22111201111200 its reverse (211110211122), we get a palindrome (22322311322322).

The spelling of 22111201111200 in words is "twenty-two trillion, one hundred eleven billion, two hundred one million, one hundred eleven thousand, two hundred".