2211113120 has 96 divisors (see below), whose sum is σ = 5519404800. Its totient is φ = 835695616.

The previous prime is 2211113117. The next prime is 2211113131. The reversal of 2211113120 is 213111122.

It is a super-2 number, since 2×2211113120² = 9778042458872268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211113095 and 2211113104.

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 15 ways as a sum of consecutive naturals, for example, 213011 + ... + 223149.

It is an arithmetic number, because the mean of its divisors is an integer number (57493800).

Almost surely, 2^2211113120 is an apocalyptic number.

2211113120 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 2211113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759702400).

2211113120 is an abundant number, since it is smaller than the sum of its proper divisors (3308291680).

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

2211113120 is a wasteful number, since it uses less digits than its factorization.

2211113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2211113120 is about 47022.4746265017. The cubic root of 2211113120 is about 1302.7777134849. Note that the first 4 decimals are identical.

Adding to 2211113120 its reverse (213111122), we get a palindrome (2424224242).

The spelling of 2211113120 in words is "two billion, two hundred eleven million, one hundred thirteen thousand, one hundred twenty".