220221330000 has 400 divisors, whose sum is σ = 814186876800. Its totient is φ = 50229504000.

The previous prime is 220221329981. The next prime is 220221330047. The reversal of 220221330000 is 33122022.

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 (15).

It is a congruent number.

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, 142169226 + ... + 142170774.

It is an arithmetic number, because the mean of its divisors is an integer number (2035467192).

Almost surely, 2^220221330000 is an apocalyptic number.

220221330000 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 220221330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407093438400).

220221330000 is an abundant number, since it is smaller than the sum of its proper divisors (593965546800).

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

220221330000 is a wasteful number, since it uses less digits than its factorization.

220221330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 220221330000 its reverse (33122022), we get a palindrome (220254452022).

The spelling of 220221330000 in words is "two hundred twenty billion, two hundred twenty-one million, three hundred thirty thousand".