212032200 has 96 divisors (see below), whose sum is σ = 675135360. Its totient is φ = 55008000.

The previous prime is 212032187. The next prime is 212032201. The reversal of 212032200 is 2230212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212032201) 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 23 ways as a sum of consecutive naturals, for example, 17425 + ... + 26975.

It is an arithmetic number, because the mean of its divisors is an integer number (7032660).

Almost surely, 2^212032200 is an apocalyptic number.

212032200 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 212032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337567680).

212032200 is an abundant number, since it is smaller than the sum of its proper divisors (463103160).

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

212032200 is a wasteful number, since it uses less digits than its factorization.

212032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212032200 is about 14561.3254891167. The cubic root of 212032200 is about 596.3033829205.

Adding to 212032200 its reverse (2230212), we get a palindrome (214262412).

The spelling of 212032200 in words is "two hundred twelve million, thirty-two thousand, two hundred".