6117120 has 180 divisors, whose sum is σ = 22259160. Its totient is φ = 1603584.

The previous prime is 6117109. The next prime is 6117131. The reversal of 6117120 is 217116.

6117120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6117109) and next prime (6117131).

It is a tau number, because it is divible by the number of its divisors (180).

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 = 6117093 and 6117102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103651 + ... + 103709.

It is an arithmetic number, because the mean of its divisors is an integer number (123662).

Almost surely, 2^6117120 is an apocalyptic number.

6117120 is a gapful number since it is divisible by the number (60) 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 6117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11129580).

6117120 is an abundant number, since it is smaller than the sum of its proper divisors (16142040).

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

6117120 is an equidigital number, since it uses as much as digits as its factorization.

6117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 6117120 is about 2473.2812213737. The cubic root of 6117120 is about 182.8867883483.

The spelling of 6117120 in words is "six million, one hundred seventeen thousand, one hundred twenty".