4116120 has 32 divisors (see below), whose sum is σ = 12348720. Its totient is φ = 1097600.

The previous prime is 4116107. The next prime is 4116127. The reversal of 4116120 is 216114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4116120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17031 + ... + 17270.

Almost surely, 2^4116120 is an apocalyptic number.

4116120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116120 is an abundant number, since it is smaller than the sum of its proper divisors (8232600).

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

4116120 is a wasteful number, since it uses less digits than its factorization.

4116120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34315 (or 34311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4116120 is about 2028.8223184892. The cubic root of 4116120 is about 160.2615513767.

It can be divided in two parts, 41 and 16120, that added together give a palindrome (16161).

The spelling of 4116120 in words is "four million, one hundred sixteen thousand, one hundred twenty".