211211111120 has 40 divisors (see below), whose sum is σ = 495927890280. Its totient is φ = 83647961600.

The previous prime is 211211111113. The next prime is 211211111129. The reversal of 211211111120 is 21111112112.

It can be written as a sum of positive squares in 4 ways, for example, as 144661558336 + 66549552784 = 380344^2 + 257972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×211211111120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211111095 and 211211111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13061915 + ... + 13078074.

It is an arithmetic number, because the mean of its divisors is an integer number (12398197257).

Almost surely, 2^211211111120 is an apocalyptic number.

211211111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211111120 is an abundant number, since it is smaller than the sum of its proper divisors (284716779160).

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

211211111120 is a wasteful number, since it uses less digits than its factorization.

211211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26140103 (or 26140097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211211111120 its reverse (21111112112), we get a palindrome (232322223232).

The spelling of 211211111120 in words is "two hundred eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".