120333114 has 128 divisors (see below), whose sum is σ = 307480320. Its totient is φ = 34992000.

The previous prime is 120333107. The next prime is 120333119. The reversal of 120333114 is 411333021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120333119) 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 63 ways as a sum of consecutive naturals, for example, 1972644 + ... + 1972704.

It is an arithmetic number, because the mean of its divisors is an integer number (2402190).

Almost surely, 2^120333114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120333114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

120333114 is an abundant number, since it is smaller than the sum of its proper divisors (187147206).

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

120333114 is an equidigital number, since it uses as much as digits as its factorization.

120333114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 120333114 is about 10969.6451173226. The cubic root of 120333114 is about 493.6983986238.

Adding to 120333114 its reverse (411333021), we get a palindrome (531666135).

The spelling of 120333114 in words is "one hundred twenty million, three hundred thirty-three thousand, one hundred fourteen".