5004120 has 128 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1136640.

The previous prime is 5004119. The next prime is 5004121. The reversal of 5004120 is 214005.

It is an interprime number because it is at equal distance from previous prime (5004119) and next prime (5004121).

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 = 5004096 and 5004105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004121) 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, 22329 + ... + 22551.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^5004120 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 5004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5004120 is an abundant number, since it is smaller than the sum of its proper divisors (12414120).

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

5004120 is a wasteful number, since it uses less digits than its factorization.

5004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5004120 is about 2236.9890478051. The cubic root of 5004120 is about 171.0445491125.

Adding to 5004120 its reverse (214005), we get a palindrome (5218125).

The spelling of 5004120 in words is "five million, four thousand, one hundred twenty".