2022221221200 has 360 divisors, whose sum is σ = 7213907848056. Its totient is φ = 524206080000.

The previous prime is 2022221221157. The next prime is 2022221221213. The reversal of 2022221221200 is 21221222202.

2022221221200 is a `hidden beast` number, since 2 + 0 + 22 + 221 + 221 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1548800162064 + 473421059136 = 1244508^2 + 688056^2 .

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

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

It is a congruent number.

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, 159966880 + ... + 159979520.

Almost surely, 2^{2022221221200} is an apocalyptic number.

2022221221200 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 2022221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606953924028).

2022221221200 is an abundant number, since it is smaller than the sum of its proper divisors (5191686626856).

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

2022221221200 is a wasteful number, since it uses less digits than its factorization.

2022221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903 (or 13889 counting only the distinct ones).

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

Adding to 2022221221200 its reverse (21221222202), we get a palindrome (2043442443402).

The spelling of 2022221221200 in words is "two trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".