211143312 has 120 divisors (see below), whose sum is σ = 633632064. Its totient is φ = 65463552.

The previous prime is 211143253. The next prime is 211143319. The reversal of 211143312 is 213341112.

211143312 is a `hidden beast` number, since 211 + 143 + 312 = 666.

211143312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (211143319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121683 + ... + 123405.

Almost surely, 2^211143312 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 211143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316816032).

211143312 is an abundant number, since it is smaller than the sum of its proper divisors (422488752).

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

211143312 is a wasteful number, since it uses less digits than its factorization.

211143312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1788 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 211143312 is about 14530.7712114671. The cubic root of 211143312 is about 595.4689352211.

Adding to 211143312 its reverse (213341112), we get a palindrome (424484424).

The spelling of 211143312 in words is "two hundred eleven million, one hundred forty-three thousand, three hundred twelve".