117120 has 64 divisors (see below), whose sum is σ = 379440. Its totient is φ = 30720.

The previous prime is 117119. The next prime is 117127. The reversal of 117120 is 21711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 117096 and 117105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890 + ... + 1950.

2¹¹⁷¹²⁰ is an apocalyptic number.

117120 is a gapful number since it is divisible by the number (10) 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 117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720).

117120 is an abundant number, since it is smaller than the sum of its proper divisors (262320).

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

117120 is an equidigital number, since it uses as much as digits as its factorization.

117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 117120 is about 342.2279941793. The cubic root of 117120 is about 48.9264480277.

Adding to 117120 its reverse (21711), we get a palindrome (138831).

The spelling of 117120 in words is "one hundred seventeen thousand, one hundred twenty", and thus it is an iban number.