22221222001200 has 360 divisors, whose sum is σ = 79404935520768. Its totient is φ = 5750439505920.

The previous prime is 22221222001127. The next prime is 22221222001213. The reversal of 22221222001200 is 210022212222.

22221222001200 is a `hidden beast` number, since 2 + 222 + 122 + 200 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×22221222001200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50797812 + ... + 51233388.

Almost surely, 2^{22221222001200} is an apocalyptic number.

22221222001200 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 22221222001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39702467760384).

22221222001200 is an abundant number, since it is smaller than the sum of its proper divisors (57183713519568).

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

22221222001200 is a wasteful number, since it uses less digits than its factorization.

22221222001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436021 (or 436007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22221222001200 its reverse (210022212222), we get a palindrome (22431244213422).

The spelling of 22221222001200 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-two million, one thousand, two hundred".