22120001200 has 120 divisors (see below), whose sum is σ = 58187012400. Its totient is φ = 8014156800.

The previous prime is 22120001177. The next prime is 22120001203. The reversal of 22120001200 is 210002122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22120001203) by changing a digit.

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, 1209726 + ... + 1227874.

It is an arithmetic number, because the mean of its divisors is an integer number (484891770).

Almost surely, 2^22120001200 is an apocalyptic number.

22120001200 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 22120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29093506200).

22120001200 is an abundant number, since it is smaller than the sum of its proper divisors (36067011200).

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

22120001200 is a wasteful number, since it uses less digits than its factorization.

22120001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18455 (or 18444 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22120001200 its reverse (210002122), we get a palindrome (22330003322).

The spelling of 22120001200 in words is "twenty-two billion, one hundred twenty million, one thousand, two hundred".