221220211120200 has 384 divisors, whose sum is σ = 769217538355200. Its totient is φ = 58431952938240.

The previous prime is 221220211120133. The next prime is 221220211120229. The reversal of 221220211120200 is 2021112022122.

It is a happy number.

221220211120200 is a `hidden beast` number, since 2 + 21 + 220 + 211 + 12 + 0 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4441523697 + ... + 4441573503.

It is an arithmetic number, because the mean of its divisors is an integer number (2003170672800).

Almost surely, 2^{221220211120200} is an apocalyptic number.

221220211120200 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 221220211120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384608769177600).

221220211120200 is an abundant number, since it is smaller than the sum of its proper divisors (547997327235000).

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

221220211120200 is a wasteful number, since it uses less digits than its factorization.

221220211120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57626 (or 57611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221220211120200 its reverse (2021112022122), we get a palindrome (223241323142322).

The spelling of 221220211120200 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty thousand, two hundred".