22221120101200 has 60 divisors (see below), whose sum is σ = 53467997017788. Its totient is φ = 8874836224000.

The previous prime is 22221120101171. The next prime is 22221120101209. The reversal of 22221120101200 is 210102112222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1511343376 + 22219608757824 = 38876^2 + 4713768^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221120101209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42275401 + ... + 42797800.

Almost surely, 2^{22221120101200} is an apocalyptic number.

22221120101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221120101200 is an abundant number, since it is smaller than the sum of its proper divisors (31246876916588).

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

22221120101200 is a wasteful number, since it uses less digits than its factorization.

22221120101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85073872 (or 85073861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22221120101200 its reverse (210102112222), we get a palindrome (22431222213422).

The spelling of 22221120101200 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, one hundred one thousand, two hundred".