21323331200 has 192 divisors, whose sum is σ = 55952412120. Its totient is φ = 8001945600.

The previous prime is 21323331181. The next prime is 21323331233. The reversal of 21323331200 is 213332312.

It can be written as a sum of positive squares in 12 ways, for example, as 7070791744 + 14252539456 = 84088^2 + 119384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32258870 + ... + 32259530.

Almost surely, 2^21323331200 is an apocalyptic number.

21323331200 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 21323331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27976206060).

21323331200 is an abundant number, since it is smaller than the sum of its proper divisors (34629080920).

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

21323331200 is a wasteful number, since it uses less digits than its factorization.

21323331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21323331200 its reverse (213332312), we get a palindrome (21536663512).

The spelling of 21323331200 in words is "twenty-one billion, three hundred twenty-three million, three hundred thirty-one thousand, two hundred".