120117216 has 48 divisors (see below), whose sum is σ = 317643984. Its totient is φ = 39742464.

The previous prime is 120117191. The next prime is 120117233. The reversal of 120117216 is 612711021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 120117192 and 120117201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8586 + ... + 17718.

It is an arithmetic number, because the mean of its divisors is an integer number (6617583).

Almost surely, 2^120117216 is an apocalyptic number.

120117216 is a gapful number since it is divisible by the number (16) 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 120117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158821992).

120117216 is an abundant number, since it is smaller than the sum of its proper divisors (197526768).

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

120117216 is a wasteful number, since it uses less digits than its factorization.

120117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9283 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 120117216 is about 10959.7999981751. The cubic root of 120117216 is about 493.4029623335.

Adding to 120117216 its reverse (612711021), we get a palindrome (732828237).

The spelling of 120117216 in words is "one hundred twenty million, one hundred seventeen thousand, two hundred sixteen".