2212221200200 has 384 divisors, whose sum is σ = 5872856970240. Its totient is φ = 767692800000.

The previous prime is 2212221200197. The next prime is 2212221200207. The reversal of 2212221200200 is 20021222122.

It is a super-2 number, since 2×2212221200200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2212221200207) 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, 2321322924 + ... + 2321323876.

It is an arithmetic number, because the mean of its divisors is an integer number (15293898360).

Almost surely, 2^{2212221200200} is an apocalyptic number.

2212221200200 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 2212221200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936428485120).

2212221200200 is an abundant number, since it is smaller than the sum of its proper divisors (3660635770040).

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

2212221200200 is a wasteful number, since it uses less digits than its factorization.

2212221200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2212221200200 its reverse (20021222122), we get a palindrome (2232242422322).

The spelling of 2212221200200 in words is "two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred thousand, two hundred".