21200231213200 has 240 divisors, whose sum is σ = 57868898028480. Its totient is φ = 7399034173440.

The previous prime is 21200231213171. The next prime is 21200231213269. The reversal of 21200231213200 is 231213200212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43526214 + ... + 44010586.

It is an arithmetic number, because the mean of its divisors is an integer number (241120408452).

Almost surely, 2^{21200231213200} is an apocalyptic number.

21200231213200 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 21200231213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28934449014240).

21200231213200 is an abundant number, since it is smaller than the sum of its proper divisors (36668666815280).

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

21200231213200 is a wasteful number, since it uses less digits than its factorization.

21200231213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484866 (or 484855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21200231213200 its reverse (231213200212), we get a palindrome (21431444413412).

The spelling of 21200231213200 in words is "twenty-one trillion, two hundred billion, two hundred thirty-one million, two hundred thirteen thousand, two hundred".