211211120 has 20 divisors (see below), whose sum is σ = 491066040. Its totient is φ = 84484416.

The previous prime is 211211071. The next prime is 211211123. The reversal of 211211120 is 21112112.

211211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×211211120² = 89220274423308800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1319990 + ... + 1320149.

It is an arithmetic number, because the mean of its divisors is an integer number (24553302).

Almost surely, 2^211211120 is an apocalyptic number.

211211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211120 is an abundant number, since it is smaller than the sum of its proper divisors (279854920).

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

211211120 is a wasteful number, since it uses less digits than its factorization.

211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640152 (or 2640146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 211211120 is about 14533.1042795406. The cubic root of 211211120 is about 595.5326727139.

Adding to 211211120 its reverse (21112112), we get a palindrome (232323232).

The spelling of 211211120 in words is "two hundred eleven million, two hundred eleven thousand, one hundred twenty".