4112221200 has 240 divisors, whose sum is σ = 13446312000. Its totient is φ = 1074124800.

The previous prime is 4112221189. The next prime is 4112221229. The reversal of 4112221200 is 21222114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4112221200.

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 47 ways as a sum of consecutive naturals, for example, 19489095 + ... + 19489305.

It is an arithmetic number, because the mean of its divisors is an integer number (56026300).

Almost surely, 2^4112221200 is an apocalyptic number.

4112221200 is a gapful number since it is divisible by the number (40) 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 4112221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723156000).

4112221200 is an abundant number, since it is smaller than the sum of its proper divisors (9334090800).

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

4112221200 is a wasteful number, since it uses less digits than its factorization.

4112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4112221200 is about 64126.6029039431. The cubic root of 4112221200 is about 1602.1093533374.

Adding to 4112221200 its reverse (21222114), we get a palindrome (4133443314).

The spelling of 4112221200 in words is "four billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".