221221022000 has 320 divisors, whose sum is σ = 604483596288. Its totient is φ = 77575680000.

The previous prime is 221221021993. The next prime is 221221022027. The reversal of 221221022000 is 220122122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373053704 + ... + 373054296.

Almost surely, 2^221221022000 is an apocalyptic number.

221221022000 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 221221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302241798144).

221221022000 is an abundant number, since it is smaller than the sum of its proper divisors (383262574288).

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

221221022000 is a wasteful number, since it uses less digits than its factorization.

221221022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221221022000 its reverse (220122122), we get a palindrome (221441144122).

The spelling of 221221022000 in words is "two hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand".