21222131322300 has 144 divisors (see below), whose sum is σ = 62302145740800. Its totient is φ = 5576618361600.

The previous prime is 21222131322211. The next prime is 21222131322317. The reversal of 21222131322300 is 322313122212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11183685 + ... + 12942915.

Almost surely, 2^{21222131322300} is an apocalyptic number.

21222131322300 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 21222131322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31151072870400).

21222131322300 is an abundant number, since it is smaller than the sum of its proper divisors (41080014418500).

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

21222131322300 is a wasteful number, since it uses less digits than its factorization.

21222131322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759836 (or 1759829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21222131322300 its reverse (322313122212), we get a palindrome (21544444444512).

The spelling of 21222131322300 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred".