2113221200 has 60 divisors (see below), whose sum is σ = 5089821180. Its totient is φ = 843156480.

The previous prime is 2113221181. The next prime is 2113221203. The reversal of 2113221200 is 21223112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33131536 + 2080089664 = 5756^2 + 45608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113221203) 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 11 ways as a sum of consecutive naturals, for example, 157142 + ... + 170058.

It is an arithmetic number, because the mean of its divisors is an integer number (84830353).

Almost surely, 2^2113221200 is an apocalyptic number.

2113221200 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 2113221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544910590).

2113221200 is an abundant number, since it is smaller than the sum of its proper divisors (2976599980).

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

2113221200 is a wasteful number, since it uses less digits than its factorization.

2113221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2113221200 is about 45969.7857293244. The cubic root of 2113221200 is about 1283.2609722885.

Adding to 2113221200 its reverse (21223112), we get a palindrome (2134444312).

The spelling of 2113221200 in words is "two billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred".