211242112 has 32 divisors (see below), whose sum is σ = 421995420. Its totient is φ = 105329664.

The previous prime is 211242103. The next prime is 211242131.

211242112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 210366016 + 876096 = 14504^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48738 + ... + 52894.

Almost surely, 2^211242112 is an apocalyptic number.

It is an amenable number.

211242112 is a deficient number, since it is larger than the sum of its proper divisors (210753308).

211242112 is an equidigital number, since it uses as much as digits as its factorization.

211242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4556 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 211242112 is about 14534.1704957662. The cubic root of 211242112 is about 595.5617997250.

The spelling of 211242112 in words is "two hundred eleven million, two hundred forty-two thousand, one hundred twelve".