2220222111120 has 400 divisors, whose sum is σ = 8307737906160. Its totient is φ = 546291744768.

The previous prime is 2220222111119. The next prime is 2220222111209. The reversal of 2220222111120 is 211112220222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 402773006736 + 1817449104384 = 634644^2 + 1348128^2 .

It is a super-2 number, since 2×2220222111120² (a number of 25 digits) contains 22 as substring.

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 = 2220222111093 and 2220222111102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 311431716 + ... + 311438844.

Almost surely, 2^{2220222111120} is an apocalyptic number.

2220222111120 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 2220222111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153868953080).

2220222111120 is an abundant number, since it is smaller than the sum of its proper divisors (6087515795040).

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

2220222111120 is a wasteful number, since it uses less digits than its factorization.

2220222111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10864 (or 10849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2220222111120 its reverse (211112220222), we get a palindrome (2431334331342).

The spelling of 2220222111120 in words is "two trillion, two hundred twenty billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".