211113120 has 96 divisors (see below), whose sum is σ = 683036928. Its totient is φ = 54770688.

The previous prime is 211113109. The next prime is 211113139. The reversal of 211113120 is 21311112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211113120² = 89137498872268800, which contains 22 as substring.

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 = 211113096 and 211113105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11817 + ... + 23703.

It is an arithmetic number, because the mean of its divisors is an integer number (7114968).

Almost surely, 2^211113120 is an apocalyptic number.

211113120 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 211113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341518464).

211113120 is an abundant number, since it is smaller than the sum of its proper divisors (471923808).

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

211113120 is a wasteful number, since it uses less digits than its factorization.

211113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11942 (or 11934 counting only the distinct ones).

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

The square root of 211113120 is about 14529.7322755789. The cubic root of 211113120 is about 595.4405512530.

Adding to 211113120 its reverse (21311112), we get a palindrome (232424232).

The spelling of 211113120 in words is "two hundred eleven million, one hundred thirteen thousand, one hundred twenty".