21220111021120 has 448 divisors, whose sum is σ = 58713455750400. Its totient is φ = 7223869440000.

The previous prime is 21220111021079. The next prime is 21220111021127. The reversal of 21220111021120 is 2112011102212.

It is a super-2 number, since 2×21220111021120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21220111021094 and 21220111021103.

It is not an unprimeable number, because it can be changed into a prime (21220111021127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843523960 + ... + 3843529480.

Almost surely, 2^{21220111021120} is an apocalyptic number.

21220111021120 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 21220111021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29356727875200).

21220111021120 is an abundant number, since it is smaller than the sum of its proper divisors (37493344729280).

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

21220111021120 is a wasteful number, since it uses less digits than its factorization.

21220111021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6238 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21220111021120 its reverse (2112011102212), we get a palindrome (23332122123332).

The spelling of 21220111021120 in words is "twenty-one trillion, two hundred twenty billion, one hundred eleven million, twenty-one thousand, one hundred twenty".