22222020221200 has 480 divisors, whose sum is σ = 56925399791232. Its totient is φ = 8326416384000.

The previous prime is 22222020221189. The next prime is 22222020221209. The reversal of 22222020221200 is 212202022222.

It is a super-2 number, since 2×22222020221200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22222020221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9492532030 + ... + 9492534370.

Almost surely, 2^{22222020221200} is an apocalyptic number.

22222020221200 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 22222020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28462699895616).

22222020221200 is an abundant number, since it is smaller than the sum of its proper divisors (34703379570032).

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

22222020221200 is a wasteful number, since it uses less digits than its factorization.

22222020221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 22222020221200 its reverse (212202022222), we get a palindrome (22434222243422).

The spelling of 22222020221200 in words is "twenty-two trillion, two hundred twenty-two billion, twenty million, two hundred twenty-one thousand, two hundred".