211210000 has 50 divisors (see below), whose sum is σ = 511384742. Its totient is φ = 84480000.

The previous prime is 211209979. The next prime is 211210001. The reversal of 211210000 is 12112.

It can be written as a sum of positive squares in 5 ways, for example, as 58736896 + 152473104 = 7664^2 + 12348^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (211210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 561 + ... + 20560.

Almost surely, 2^211210000 is an apocalyptic number.

211210000 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 211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255692371).

211210000 is an abundant number, since it is smaller than the sum of its proper divisors (300174742).

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

211210000 is an equidigital number, since it uses as much as digits as its factorization.

211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21149 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 211210000 is about 14533.0657467721. The cubic root of 211210000 is about 595.5316200581.

Adding to 211210000 its reverse (12112), we get a palindrome (211222112).

The spelling of 211210000 in words is "two hundred eleven million, two hundred ten thousand".