21222120303000 has 768 divisors, whose sum is σ = 74799841184640. Its totient is φ = 5422394880000.

The previous prime is 21222120302987. The next prime is 21222120303001. The reversal of 21222120303000 is 30302122212.

21222120303000 is a `hidden beast` number, since 2 + 122 + 212 + 0 + 30 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222120303001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6625699399 + ... + 6625702601.

Almost surely, 2^{21222120303000} is an apocalyptic number.

21222120303000 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 21222120303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37399920592320).

21222120303000 is an abundant number, since it is smaller than the sum of its proper divisors (53577720881640).

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

21222120303000 is a wasteful number, since it uses less digits than its factorization.

21222120303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21222120303000 its reverse (30302122212), we get a palindrome (21252422425212).

The spelling of 21222120303000 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, three hundred three thousand".