4218120 has 48 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 1124736.

The previous prime is 4218113. The next prime is 4218157. The reversal of 4218120 is 218124.

It can be written as a sum of positive squares in 2 ways, for example, as 3481956 + 736164 = 1866^2 + 858^2 .

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 = 4218093 and 4218102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5499 + ... + 6218.

Almost surely, 2^4218120 is an apocalyptic number.

4218120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4218120 is an abundant number, since it is smaller than the sum of its proper divisors (9491940).

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

4218120 is a wasteful number, since it uses less digits than its factorization.

4218120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11734 (or 11727 counting only the distinct ones).

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

The square root of 4218120 is about 2053.8062226023. The cubic root of 4218120 is about 161.5745581291.

The spelling of 4218120 in words is "four million, two hundred eighteen thousand, one hundred twenty".