4182120 has 48 divisors (see below), whose sum is σ = 13593060. Its totient is φ = 1115136.

The previous prime is 4182103. The next prime is 4182127. The reversal of 4182120 is 212814.

4182120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4088484 + 93636 = 2022^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4182093 and 4182102.

It is not an unprimeable number, because it can be changed into a prime (4182127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5449 + ... + 6168.

Almost surely, 2^4182120 is an apocalyptic number.

4182120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4182120 is an abundant number, since it is smaller than the sum of its proper divisors (9410940).

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

4182120 is a wasteful number, since it uses less digits than its factorization.

4182120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11634 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4182120 is about 2045.0232272520. The cubic root of 4182120 is about 161.1135857285.

Adding to 4182120 its reverse (212814), we get a palindrome (4394934).

The spelling of 4182120 in words is "four million, one hundred eighty-two thousand, one hundred twenty".