211712000 has 96 divisors (see below), whose sum is σ = 528942960. Its totient is φ = 84582400.

The previous prime is 211711979. The next prime is 211712009. The reversal of 211712000 is 217112.

211712000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211712009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 255587 + ... + 256413.

Almost surely, 2^211712000 is an apocalyptic number.

211712000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264471480).

211712000 is an abundant number, since it is smaller than the sum of its proper divisors (317230960).

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

211712000 is an frugal number, since it uses more digits than its factorization.

211712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 211712000 is about 14550.3264568188. The cubic root of 211712000 is about 596.0030629094.

Adding to 211712000 its reverse (217112), we get a palindrome (211929112).

The spelling of 211712000 in words is "two hundred eleven million, seven hundred twelve thousand".