211312120 has 32 divisors (see below), whose sum is σ = 490792320. Its totient is φ = 81797760.

The previous prime is 211312111. The next prime is 211312133. The reversal of 211312120 is 21213112.

It is a self number, because there is not a number n which added to its sum of digits gives 211312120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83967 + ... + 86446.

It is an arithmetic number, because the mean of its divisors is an integer number (15337260).

Almost surely, 2^211312120 is an apocalyptic number.

211312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312120 is an abundant number, since it is smaller than the sum of its proper divisors (279480200).

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

211312120 is a wasteful number, since it uses less digits than its factorization.

211312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170455 (or 170451 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 211312120 is about 14536.5786896367. The cubic root of 211312120 is about 595.6275844068.

Adding to 211312120 its reverse (21213112), we get a palindrome (232525232).

The spelling of 211312120 in words is "two hundred eleven million, three hundred twelve thousand, one hundred twenty".