4113120 has 192 divisors, whose sum is σ = 15240960. Its totient is φ = 921600.

The previous prime is 4113119. The next prime is 4113121. The reversal of 4113120 is 213114.

It is a happy number.

4113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4113119) and next prime (4113121).

It is a super-3 number, since 3×4113120³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4113096 and 4113105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100300 + ... + 100340.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

Almost surely, 2^4113120 is an apocalyptic number.

4113120 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 4113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4113120 is an abundant number, since it is smaller than the sum of its proper divisors (11127840).

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

4113120 is a wasteful number, since it uses less digits than its factorization.

4113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4113120 is about 2028.0828385448. The cubic root of 4113120 is about 160.2226068118. Note that the first 3 decimals are identical.

Adding to 4113120 its reverse (213114), we get a palindrome (4326234).

The spelling of 4113120 in words is "four million, one hundred thirteen thousand, one hundred twenty".