21200313200 has 180 divisors, whose sum is σ = 56442220800. Its totient is φ = 7646284800.

The previous prime is 21200313179. The next prime is 21200313203. The reversal of 21200313200 is 231300212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200313203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6145076 + ... + 6148524.

Almost surely, 2^21200313200 is an apocalyptic number.

21200313200 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 21200313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28221110400).

21200313200 is an abundant number, since it is smaller than the sum of its proper divisors (35241907600).

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

21200313200 is a wasteful number, since it uses less digits than its factorization.

21200313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3594 counting only the distinct ones).

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

Adding to 21200313200 its reverse (231300212), we get a palindrome (21431613412).

The spelling of 21200313200 in words is "twenty-one billion, two hundred million, three hundred thirteen thousand, two hundred".