221220334210000 has 200 divisors, whose sum is σ = 554951413827360. Its totient is φ = 85347033408000.

The previous prime is 221220334209989. The next prime is 221220334210061. The reversal of 221220334210000 is 12433022122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 27732739 + ... + 34807261.

Almost surely, 2^{221220334210000} is an apocalyptic number.

221220334210000 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 221220334210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277475706913680).

221220334210000 is an abundant number, since it is smaller than the sum of its proper divisors (333731079617360).

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

221220334210000 is an equidigital number, since it uses as much as digits as its factorization.

221220334210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074663 (or 7074642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221220334210000 its reverse (12433022122), we get a palindrome (221232767232122).

The spelling of 221220334210000 in words is "two hundred twenty-one trillion, two hundred twenty billion, three hundred thirty-four million, two hundred ten thousand".