221233224322000 has 640 divisors, whose sum is σ = 600233709583872. Its totient is φ = 78188986368000.

The previous prime is 221233224321947. The next prime is 221233224322043. The reversal of 221233224322000 is 223422332122.

It is a self number, because there is not a number n which added to its sum of digits gives 221233224322000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57718032084 + ... + 57718035916.

Almost surely, 2^{221233224322000} is an apocalyptic number.

221233224322000 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 221233224322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300116854791936).

221233224322000 is an abundant number, since it is smaller than the sum of its proper divisors (379000485261872).

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

221233224322000 is a wasteful number, since it uses less digits than its factorization.

221233224322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 221233224322000 its reverse (223422332122), we get a palindrome (221456646654122).

The spelling of 221233224322000 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, two hundred twenty-four million, three hundred twenty-two thousand".