211131200 has 126 divisors (see below), whose sum is σ = 604557846. Its totient is φ = 72360960.

The previous prime is 211131199. The next prime is 211131203. The reversal of 211131200 is 2131112.

211131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8809024 + 202322176 = 2968^2 + 14224^2 .

It is a super-2 number, since 2×211131200² = 89152767226880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77054 + ... + 79746.

Almost surely, 2^211131200 is an apocalyptic number.

211131200 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 211131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302278923).

211131200 is an abundant number, since it is smaller than the sum of its proper divisors (393426646).

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

211131200 is a wasteful number, since it uses less digits than its factorization.

211131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 211131200 is about 14530.3544347686. The cubic root of 211131200 is about 595.4575488668.

Adding to 211131200 its reverse (2131112), we get a palindrome (213262312).

The spelling of 211131200 in words is "two hundred eleven million, one hundred thirty-one thousand, two hundred".