4512120 has 64 divisors (see below), whose sum is σ = 14256000. Its totient is φ = 1139328.

The previous prime is 4512107. The next prime is 4512127. The reversal of 4512120 is 212154.

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 4512120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4512127) 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 15 ways as a sum of consecutive naturals, for example, 1291 + ... + 3269.

It is an arithmetic number, because the mean of its divisors is an integer number (222750).

Almost surely, 2^4512120 is an apocalyptic number.

4512120 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 4512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128000).

4512120 is an abundant number, since it is smaller than the sum of its proper divisors (9743880).

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

4512120 is a wasteful number, since it uses less digits than its factorization.

4512120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4512120 is about 2124.1751340226. The cubic root of 4512120 is about 165.2444494204.

Adding to 4512120 its reverse (212154), we get a palindrome (4724274).

The spelling of 4512120 in words is "four million, five hundred twelve thousand, one hundred twenty".