220022201221200 has 480 divisors, whose sum is σ = 896827690782720. Its totient is φ = 50187513945600.

The previous prime is 220022201221181. The next prime is 220022201221201. The reversal of 220022201221200 is 2122102220022.

220022201221200 is a `hidden beast` number, since 2 + 20 + 0 + 2 + 220 + 1 + 221 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022201221201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33829165 + ... + 39805235.

It is an arithmetic number, because the mean of its divisors is an integer number (1868391022464).

Almost surely, 2^{220022201221200} is an apocalyptic number.

220022201221200 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 220022201221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448413845391360).

220022201221200 is an abundant number, since it is smaller than the sum of its proper divisors (676805489561520).

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

220022201221200 is a wasteful number, since it uses less digits than its factorization.

220022201221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976592 (or 5976575 counting only the distinct ones).

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

Adding to 220022201221200 its reverse (2122102220022), we get a palindrome (222144303441222).

The spelling of 220022201221200 in words is "two hundred twenty trillion, twenty-two billion, two hundred one million, two hundred twenty-one thousand, two hundred".