221321230033200 has 480 divisors, whose sum is σ = 802981126490112. Its totient is φ = 51622720512000.

The previous prime is 221321230033171. The next prime is 221321230033207. The reversal of 221321230033200 is 2330032123122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221321230033207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69228412 + ... + 72354788.

Almost surely, 2^{221321230033200} is an apocalyptic number.

221321230033200 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 221321230033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401490563245056).

221321230033200 is an abundant number, since it is smaller than the sum of its proper divisors (581659896456912).

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

221321230033200 is a wasteful number, since it uses less digits than its factorization.

221321230033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126613 (or 3126602 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 221321230033200 its reverse (2330032123122), we get a palindrome (223651262156322).

The spelling of 221321230033200 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, two hundred thirty million, thirty-three thousand, two hundred".