22221200011200 has 672 divisors, whose sum is σ = 75792377548800. Its totient is φ = 5696196280320.

The previous prime is 22221200011189. The next prime is 22221200011237. The reversal of 22221200011200 is 211000212222.

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 22221200011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3511009636 + ... + 3511015964.

Almost surely, 2^{22221200011200} is an apocalyptic number.

22221200011200 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 22221200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37896188774400).

22221200011200 is an abundant number, since it is smaller than the sum of its proper divisors (53571177537600).

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

22221200011200 is a wasteful number, since it uses less digits than its factorization.

22221200011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22221200011200 its reverse (211000212222), we get a palindrome (22432200223422).

The spelling of 22221200011200 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred million, eleven thousand, two hundred".