21222110211120 has 960 divisors, whose sum is σ = 89065463445504. Its totient is φ = 4409013288960.

The previous prime is 21222110211119. The next prime is 21222110211121. The reversal of 21222110211120 is 2111201122212.

21222110211120 is a `hidden beast` number, since 2 + 1 + 222 + 110 + 211 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (21222110211119) and next prime (21222110211121).

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

It is a junction number, because it is equal to n+sod(n) for n = 21222110211093 and 21222110211102.

It is not an unprimeable number, because it can be changed into a prime (21222110211121) 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 191 ways as a sum of consecutive naturals, for example, 4433277367 + ... + 4433282153.

Almost surely, 2^{21222110211120} is an apocalyptic number.

21222110211120 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 21222110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44532731722752).

21222110211120 is an abundant number, since it is smaller than the sum of its proper divisors (67843353234384).

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

21222110211120 is a wasteful number, since it uses less digits than its factorization.

21222110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21222110211120 its reverse (2111201122212), we get a palindrome (23333311333332).

The spelling of 21222110211120 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".