211231211121 has 96 divisors (see below), whose sum is σ = 367471104000. Its totient is φ = 114424337664.

The previous prime is 211231211053. The next prime is 211231211129. The reversal of 211231211121 is 121112132112.

It is a happy number.

211231211121 is a `hidden beast` number, since 211 + 231 + 211 + 12 + 1 = 666.

It is not a de Polignac number, because 211231211121 - 2⁹ = 211231210609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211231211094 and 211231211103.

It is not an unprimeable number, because it can be changed into a prime (211231211129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12618285 + ... + 12635013.

It is an arithmetic number, because the mean of its divisors is an integer number (3827824000).

Almost surely, 2^211231211121 is an apocalyptic number.

211231211121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211231211121 is a deficient number, since it is larger than the sum of its proper divisors (156239892879).

211231211121 is a wasteful number, since it uses less digits than its factorization.

211231211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16923 (or 16920 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 211231211121 its reverse (121112132112), we get a palindrome (332343343233).

The spelling of 211231211121 in words is "two hundred eleven billion, two hundred thirty-one million, two hundred eleven thousand, one hundred twenty-one".