211424112 has 60 divisors (see below), whose sum is σ = 593831784. Its totient is φ = 70220160.

The previous prime is 211424093. The next prime is 211424117.

211424112 is a `hidden beast` number, since 211 + 42 + 411 + 2 = 666.

211424112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211424117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39687 + ... + 44697.

Almost surely, 2^211424112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296915892).

211424112 is an abundant number, since it is smaller than the sum of its proper divisors (382407672).

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

211424112 is a wasteful number, since it uses less digits than its factorization.

211424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5309 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 211424112 is about 14540.4302549821. The cubic root of 211424112 is about 595.7327901464.

The spelling of 211424112 in words is "two hundred eleven million, four hundred twenty-four thousand, one hundred twelve".