21200132300000 has 288 divisors, whose sum is σ = 53005083082560. Its totient is φ = 8345152000000.

The previous prime is 21200132299981. The next prime is 21200132300023. The reversal of 21200132300000 is 323100212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1686693716 + ... + 1686706284.

It is an arithmetic number, because the mean of its divisors is an integer number (184045427370).

Almost surely, 2^{21200132300000} is an apocalyptic number.

21200132300000 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 21200132300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26502541541280).

21200132300000 is an abundant number, since it is smaller than the sum of its proper divisors (31804950782560).

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

21200132300000 is a wasteful number, since it uses less digits than its factorization.

21200132300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21200132300000 its reverse (323100212), we get a palindrome (21200455400212).

The spelling of 21200132300000 in words is "twenty-one trillion, two hundred billion, one hundred thirty-two million, three hundred thousand".