221203213000 has 1024 divisors, whose sum is σ = 718129152000. Its totient is φ = 61737984000.

The previous prime is 221203212983. The next prime is 221203213001. The reversal of 221203213000 is 312302122.

221203213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221203213000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221203213001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3030180964 + ... + 3030181036.

It is an arithmetic number, because the mean of its divisors is an integer number (701298000).

Almost surely, 2^221203213000 is an apocalyptic number.

221203213000 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 221203213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359064576000).

221203213000 is an abundant number, since it is smaller than the sum of its proper divisors (496925939000).

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

221203213000 is a wasteful number, since it uses less digits than its factorization.

221203213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221203213000 its reverse (312302122), we get a palindrome (221515515122).

The spelling of 221203213000 in words is "two hundred twenty-one billion, two hundred three million, two hundred thirteen thousand".