221120221200200 has 288 divisors, whose sum is σ = 624953179156800. Its totient is φ = 71220068398080.

The previous prime is 221120221200149. The next prime is 221120221200233. The reversal of 221120221200200 is 2002122021122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41025911 + ... + 46101689.

Almost surely, 2^{221120221200200} is an apocalyptic number.

221120221200200 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 221120221200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312476589578400).

221120221200200 is an abundant number, since it is smaller than the sum of its proper divisors (403832957956600).

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

221120221200200 is a wasteful number, since it uses less digits than its factorization.

221120221200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075897 (or 5075859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221120221200200 its reverse (2002122021122), we get a palindrome (223122343221322).

The spelling of 221120221200200 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred thousand, two hundred".