211111320 has 64 divisors (see below), whose sum is σ = 723813120. Its totient is φ = 48253824.

The previous prime is 211111289. The next prime is 211111343. The reversal of 211111320 is 23111112.

211111320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 211111296 and 211111305.

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 15 ways as a sum of consecutive naturals, for example, 124822 + ... + 126501.

It is an arithmetic number, because the mean of its divisors is an integer number (11309580).

Almost surely, 2^211111320 is an apocalyptic number.

211111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111320 is an abundant number, since it is smaller than the sum of its proper divisors (512701800).

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

211111320 is a wasteful number, since it uses less digits than its factorization.

211111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251344 (or 251340 counting only the distinct ones).

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

The square root of 211111320 is about 14529.6703334935. The cubic root of 211111320 is about 595.4388589596.

Adding to 211111320 its reverse (23111112), we get a palindrome (234222432).

It can be divided in two parts, 2111 and 11320, that added together give a palindrome (13431).

The spelling of 211111320 in words is "two hundred eleven million, one hundred eleven thousand, three hundred twenty".