20332221130000 has 400 divisors, whose sum is σ = 54550700875440. Its totient is φ = 7290307584000.

The previous prime is 20332221129971. The next prime is 20332221130019. The reversal of 20332221130000 is 3112223302.

It can be written as a sum of positive squares in 40 ways, for example, as 9266033408256 + 11066187721744 = 3044016^2 + 3326588^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20332221130000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2679166206 + ... + 2679173794.

Almost surely, 2^{20332221130000} is an apocalyptic number.

20332221130000 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 20332221130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27275350437720).

20332221130000 is an abundant number, since it is smaller than the sum of its proper divisors (34218479745440).

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

20332221130000 is a wasteful number, since it uses less digits than its factorization.

20332221130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20332221130000 its reverse (3112223302), we get a palindrome (20335333353302).

The spelling of 20332221130000 in words is "twenty trillion, three hundred thirty-two billion, two hundred twenty-one million, one hundred thirty thousand".