22020212221200 has 240 divisors, whose sum is σ = 81078253814400. Its totient is φ = 5669571801600.

The previous prime is 22020212221187. The next prime is 22020212221207. The reversal of 22020212221200 is 212221202022.

22020212221200 is a `hidden beast` number, since 220 + 2 + 0 + 21 + 2 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (22020212221207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34840396 + ... + 35466795.

It is an arithmetic number, because the mean of its divisors is an integer number (337826057560).

Almost surely, 2^{22020212221200} is an apocalyptic number.

22020212221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020212221200 is an abundant number, since it is smaller than the sum of its proper divisors (59058041593200).

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

22020212221200 is a wasteful number, since it uses less digits than its factorization.

22020212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70307247 (or 70307230 counting only the distinct ones).

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

Adding to 22020212221200 its reverse (212221202022), we get a palindrome (22232433423222).

The spelling of 22020212221200 in words is "twenty-two trillion, twenty billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".