211211200 has 84 divisors (see below), whose sum is σ = 525258792. Its totient is φ = 83584000.

The previous prime is 211211191. The next prime is 211211243. The reversal of 211211200 is 2112112.

It is a super-2 number, since 2×211211200² = 89220342010880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 160947 + ... + 162253.

Almost surely, 2^211211200 is an apocalyptic number.

211211200 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 211211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262629396).

211211200 is an abundant number, since it is smaller than the sum of its proper divisors (314047592).

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

211211200 is a wasteful number, since it uses less digits than its factorization.

211211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211211200 is about 14533.1070318773. The cubic root of 211211200 is about 595.5327479034.

Adding to 211211200 its reverse (2112112), we get a palindrome (213323312).

Multiplying 211211200 by its reverse (2112112), we get a square (446101710054400 = 21121120²).

211211200 divided by its reverse (2112112) gives a square (100 = 10²).

The spelling of 211211200 in words is "two hundred eleven million, two hundred eleven thousand, two hundred".