21200223330000 has 1200 divisors, whose sum is σ = 87686694775680. Its totient is φ = 4712256000000.

The previous prime is 21200223329981. The next prime is 21200223330007. The reversal of 21200223330000 is 3332200212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200223330007) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 1943364546 + ... + 1943375454.

Almost surely, 2^{21200223330000} is an apocalyptic number.

21200223330000 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 21200223330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43843347387840).

21200223330000 is an abundant number, since it is smaller than the sum of its proper divisors (66486471445680).

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

21200223330000 is a wasteful number, since it uses less digits than its factorization.

21200223330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11094 counting only the distinct ones).

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

Adding to 21200223330000 its reverse (3332200212), we get a palindrome (21203555530212).

The spelling of 21200223330000 in words is "twenty-one trillion, two hundred billion, two hundred twenty-three million, three hundred thirty thousand".