221233320000 has 1680 divisors, whose sum is σ = 1033855460352. Its totient is φ = 43845120000.

The previous prime is 221233319987. The next prime is 221233320001. The reversal of 221233320000 is 23332122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221233320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 637559827 + ... + 637560173.

Almost surely, 2^221233320000 is an apocalyptic number.

221233320000 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 221233320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516927730176).

221233320000 is an abundant number, since it is smaller than the sum of its proper divisors (812622140352).

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

221233320000 is a wasteful number, since it uses less digits than its factorization.

221233320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 221233320000 its reverse (23332122), we get a palindrome (221256652122).

The spelling of 221233320000 in words is "two hundred twenty-one billion, two hundred thirty-three million, three hundred twenty thousand".