21301332222000 has 320 divisors, whose sum is σ = 69010923196800. Its totient is φ = 5652637286400.

The previous prime is 21301332221999. The next prime is 21301332222029. The reversal of 21301332222000 is 22223310312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4574043672 + ... + 4574048328.

It is an arithmetic number, because the mean of its divisors is an integer number (215659134990).

Almost surely, 2^{21301332222000} is an apocalyptic number.

21301332222000 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 21301332222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34505461598400).

21301332222000 is an abundant number, since it is smaller than the sum of its proper divisors (47709590974800).

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

21301332222000 is a wasteful number, since it uses less digits than its factorization.

21301332222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21301332222000 its reverse (22223310312), we get a palindrome (21323555532312).

The spelling of 21301332222000 in words is "twenty-one trillion, three hundred one billion, three hundred thirty-two million, two hundred twenty-two thousand".