120117783168 has 128 divisors (see below), whose sum is σ = 354818016000. Its totient is φ = 40004960256.

The previous prime is 120117783161. The next prime is 120117783197. The reversal of 120117783168 is 861387711021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (120117783161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4191673 + ... + 4220231.

It is an arithmetic number, because the mean of its divisors is an integer number (2772015750).

Almost surely, 2^120117783168 is an apocalyptic number.

120117783168 is a gapful number since it is divisible by the number (18) 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 120117783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177409008000).

120117783168 is an abundant number, since it is smaller than the sum of its proper divisors (234700232832).

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

120117783168 is a wasteful number, since it uses less digits than its factorization.

120117783168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29799 (or 29781 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 120117783168 in words is "one hundred twenty billion, one hundred seventeen million, seven hundred eighty-three thousand, one hundred sixty-eight".