2012211200 has 72 divisors (see below), whose sum is σ = 4989192390. Its totient is φ = 804864000.

The previous prime is 2012211181. The next prime is 2012211203. The reversal of 2012211200 is 21122102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1291396096 + 720815104 = 35936^2 + 26848^2 .

It is not an unprimeable number, because it can be changed into a prime (2012211203) 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 5 ways as a sum of consecutive naturals, for example, 31550 + ... + 70850.

Almost surely, 2^2012211200 is an apocalyptic number.

2012211200 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 2012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494596195).

2012211200 is an abundant number, since it is smaller than the sum of its proper divisors (2976981190).

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

2012211200 is an equidigital number, since it uses as much as digits as its factorization.

2012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39333 (or 39308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2012211200 is about 44857.6771578734. The cubic root of 2012211200 is about 1262.4800402033.

Adding to 2012211200 its reverse (21122102), we get a palindrome (2033333302).

The spelling of 2012211200 in words is "two billion, twelve million, two hundred eleven thousand, two hundred".