211311120 has 80 divisors (see below), whose sum is σ = 683563392. Its totient is φ = 53898240.

The previous prime is 211311119. The next prime is 211311151. The reversal of 211311120 is 21113112.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 211311096 and 211311105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13621 + ... + 24660.

Almost surely, 2^211311120 is an apocalyptic number.

211311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211311120 is an abundant number, since it is smaller than the sum of its proper divisors (472252272).

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

211311120 is a wasteful number, since it uses less digits than its factorization.

211311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38320 (or 38314 counting only the distinct ones).

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

The square root of 211311120 is about 14536.5442936071. The cubic root of 211311120 is about 595.6266448353.

Adding to 211311120 its reverse (21113112), we get a palindrome (232424232).

The spelling of 211311120 in words is "two hundred eleven million, three hundred eleven thousand, one hundred twenty".