221232330000 has 400 divisors, whose sum is σ = 865669147200. Its totient is φ = 53631360000.

The previous prime is 221232329953. The next prime is 221232330019. The reversal of 221232330000 is 33232122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 2932756 + ... + 3007244.

It is an arithmetic number, because the mean of its divisors is an integer number (2164172868).

Almost surely, 2^221232330000 is an apocalyptic number.

221232330000 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 221232330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432834573600).

221232330000 is an abundant number, since it is smaller than the sum of its proper divisors (644436817200).

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

221232330000 is a wasteful number, since it uses less digits than its factorization.

221232330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74537 (or 74510 counting only the distinct ones).

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

Adding to 221232330000 its reverse (33232122), we get a palindrome (221265562122).

The spelling of 221232330000 in words is "two hundred twenty-one billion, two hundred thirty-two million, three hundred thirty thousand".