4120 has 16 divisors (see below), whose sum is σ = 9360. Its totient is φ = 1632.

The previous prime is 4111. The next prime is 4127. The reversal of 4120 is 214.

4120 = 9² + 10² + ... + 23².

4120 is nontrivially palindromic in base 3.

It is a plaindrome in base 9 and base 15.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127) by changing a digit.

4120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

4120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120 is an abundant number, since it is smaller than the sum of its proper divisors (5240).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680).

4120 is a wasteful number, since it uses less digits than its factorization.

4120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4120 is about 64.1872261435. The cubic root of 4120 is about 16.0311891628.

Adding to 4120 its reverse (214), we get a palindrome (4334).

It can be divided in two parts, 41 and 20, that multiplied together give a triangular number (820 = T₄₀).

The spelling of 4120 in words is "four thousand, one hundred twenty", and thus it is an iban number.