2211111120 has 320 divisors, whose sum is σ = 7580514816. Its totient is φ = 530841600.

The previous prime is 2211111101. The next prime is 2211111143. The reversal of 2211111120 is 211111122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2211111096 and 2211111105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14643045 + ... + 14643195.

Almost surely, 2^2211111120 is an apocalyptic number.

2211111120 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 2211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790257408).

2211111120 is an abundant number, since it is smaller than the sum of its proper divisors (5369403696).

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

2211111120 is a wasteful number, since it uses less digits than its factorization.

2211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2211111120 is about 47022.4533600704. The cubic root of 2211111120 is about 1302.7773206878. Note that the first 3 decimals are identical.

Adding to 2211111120 its reverse (211111122), we get a palindrome (2422222242).

The spelling of 2211111120 in words is "two billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".