7116120 has 128 divisors (see below), whose sum is σ = 25920000. Its totient is φ = 1722240.

The previous prime is 7116119. The next prime is 7116121. The reversal of 7116120 is 216117.

It is an interprime number because it is at equal distance from previous prime (7116119) and next prime (7116121).

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 = 7116093 and 7116102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7116121) 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 31 ways as a sum of consecutive naturals, for example, 11581 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

Almost surely, 2^7116120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7116120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960000).

7116120 is an abundant number, since it is smaller than the sum of its proper divisors (18803880).

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

7116120 is a wasteful number, since it uses less digits than its factorization.

7116120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

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

The square root of 7116120 is about 2667.6056680102. The cubic root of 7116120 is about 192.3450825349.

The spelling of 7116120 in words is "seven million, one hundred sixteen thousand, one hundred twenty".