201232200 has 96 divisors (see below), whose sum is σ = 671832000. Its totient is φ = 49532160.

The previous prime is 201232193. The next prime is 201232201. The reversal of 201232200 is 2232102.

201232200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (201232201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5100 + ... + 20699.

It is an arithmetic number, because the mean of its divisors is an integer number (6998250).

Almost surely, 2^201232200 is an apocalyptic number.

201232200 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 201232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335916000).

201232200 is an abundant number, since it is smaller than the sum of its proper divisors (470599800).

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

201232200 is a wasteful number, since it uses less digits than its factorization.

201232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25831 (or 25822 counting only the distinct ones).

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

The square root of 201232200 is about 14185.6335776729. The cubic root of 201232200 is about 586.0020811661.

Adding to 201232200 its reverse (2232102), we get a palindrome (203464302).

The spelling of 201232200 in words is "two hundred one million, two hundred thirty-two thousand, two hundred".