2221211200 has 168 divisors, whose sum is σ = 6143231808. Its totient is φ = 784312320.

The previous prime is 2221211189. The next prime is 2221211221. The reversal of 2221211200 is 21121222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 23 ways as a sum of consecutive naturals, for example, 476079 + ... + 480721.

It is an arithmetic number, because the mean of its divisors is an integer number (36566856).

Almost surely, 2^2221211200 is an apocalyptic number.

2221211200 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 2221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071615904).

2221211200 is an abundant number, since it is smaller than the sum of its proper divisors (3922020608).

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

2221211200 is a wasteful number, since it uses less digits than its factorization.

2221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2221211200 is about 47129.7273490946. The cubic root of 2221211200 is about 1304.7579494606.

Adding to 2221211200 its reverse (21121222), we get a palindrome (2242332422).

The spelling of 2221211200 in words is "two billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".