21322242200 has 144 divisors (see below), whose sum is σ = 58400056800. Its totient is φ = 7217683200.

The previous prime is 21322242181. The next prime is 21322242203. The reversal of 21322242200 is 224222312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322242203) 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, 760430 + ... + 787970.

It is an arithmetic number, because the mean of its divisors is an integer number (405555950).

Almost surely, 2^21322242200 is an apocalyptic number.

21322242200 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 21322242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29200028400).

21322242200 is an abundant number, since it is smaller than the sum of its proper divisors (37077814600).

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

21322242200 is a wasteful number, since it uses less digits than its factorization.

21322242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27650 (or 27634 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21322242200 its reverse (224222312), we get a palindrome (21546464512).

The spelling of 21322242200 in words is "twenty-one billion, three hundred twenty-two million, two hundred forty-two thousand, two hundred".