120993318 has 48 divisors (see below), whose sum is σ = 285657360. Its totient is φ = 37953792.

The previous prime is 120993289. The next prime is 120993347. The reversal of 120993318 is 813399021.

It is an interprime number because it is at equal distance from previous prime (120993289) and next prime (120993347).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11730 + ... + 19482.

It is an arithmetic number, because the mean of its divisors is an integer number (5951195).

Almost surely, 2^120993318 is an apocalyptic number.

120993318 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 120993318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142828680).

120993318 is an abundant number, since it is smaller than the sum of its proper divisors (164664042).

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

120993318 is a wasteful number, since it uses less digits than its factorization.

120993318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 120993318 is about 10999.6962685340. The cubic root of 120993318 is about 494.5996395412.

The spelling of 120993318 in words is "one hundred twenty million, nine hundred ninety-three thousand, three hundred eighteen".