4120224 has 48 divisors (see below), whose sum is σ = 10922688. Its totient is φ = 1359872.

The previous prime is 4120223. The next prime is 4120229. The reversal of 4120224 is 4220214.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4120223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15904 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (227556).

Almost surely, 2^4120224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461344).

4120224 is an abundant number, since it is smaller than the sum of its proper divisors (6802464).

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

4120224 is a wasteful number, since it uses less digits than its factorization.

4120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4120224 is about 2029.8334907080. The cubic root of 4120224 is about 160.3147969037.

Adding to 4120224 its reverse (4220214), we get a palindrome (8340438).

The spelling of 4120224 in words is "four million, one hundred twenty thousand, two hundred twenty-four".