221221200330 has 384 divisors, whose sum is σ = 687739852800. Its totient is φ = 50705927424.

The previous prime is 221221200323. The next prime is 221221200359. The reversal of 221221200330 is 33002122122.

221221200330 is a `hidden beast` number, since 2 + 212 + 2 + 120 + 0 + 330 = 666.

221221200330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35409267 + ... + 35415513.

It is an arithmetic number, because the mean of its divisors is an integer number (1790989200).

Almost surely, 2^221221200330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221221200330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343869926400).

221221200330 is an abundant number, since it is smaller than the sum of its proper divisors (466518652470).

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

221221200330 is a wasteful number, since it uses less digits than its factorization.

221221200330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221221200330 its reverse (33002122122), we get a palindrome (254223322452).

The spelling of 221221200330 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, three hundred thirty".