221200022000 has 240 divisors, whose sum is σ = 573550760640. Its totient is φ = 82487808000.

The previous prime is 221200021993. The next prime is 221200022033. The reversal of 221200022000 is 220002122.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 63000245 + ... + 63003755.

It is an arithmetic number, because the mean of its divisors is an integer number (2389794836).

Almost surely, 2^221200022000 is an apocalyptic number.

221200022000 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 221200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286775380320).

221200022000 is an abundant number, since it is smaller than the sum of its proper divisors (352350738640).

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

221200022000 is a wasteful number, since it uses less digits than its factorization.

221200022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 221200022000 its reverse (220002122), we get a palindrome (221420024122).

The spelling of 221200022000 in words is "two hundred twenty-one billion, two hundred million, twenty-two thousand".