120093318 has 48 divisors (see below), whose sum is σ = 269782656. Its totient is φ = 38568960.

The previous prime is 120093317. The next prime is 120093329. The reversal of 120093318 is 813390021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120093291 and 120093300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120093317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 207846 + ... + 208422.

It is an arithmetic number, because the mean of its divisors is an integer number (5620472).

Almost surely, 2^120093318 is an apocalyptic number.

120093318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120093318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134891328).

120093318 is an abundant number, since it is smaller than the sum of its proper divisors (149689338).

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

120093318 is a wasteful number, since it uses less digits than its factorization.

With its successor (120093319) it forms an eRAP, since the sums of their prime factors are consecutive (989 and 990).

120093318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120093318 is about 10958.7096868199. The cubic root of 120093318 is about 493.3702383925.

The spelling of 120093318 in words is "one hundred twenty million, ninety-three thousand, three hundred eighteen".