117033120 has 96 divisors (see below), whose sum is σ = 409631040. Its totient is φ = 31207680.

The previous prime is 117033107. The next prime is 117033157. The reversal of 117033120 is 21330711.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 117033093 and 117033102.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9226 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (4266990).

Almost surely, 2^117033120 is an apocalyptic number.

117033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117033120 is an abundant number, since it is smaller than the sum of its proper divisors (292597920).

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

117033120 is a wasteful number, since it uses less digits than its factorization.

117033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27115 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 117033120 is about 10818.1846906031. The cubic root of 117033120 is about 489.1434710187.

Adding to 117033120 its reverse (21330711), we get a palindrome (138363831).

The spelling of 117033120 in words is "one hundred seventeen million, thirty-three thousand, one hundred twenty".