120333240 has 96 divisors (see below), whose sum is σ = 408114720. Its totient is φ = 30691584.

The previous prime is 120333233. The next prime is 120333281. The reversal of 120333240 is 42333021.

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

It is a congruent number.

It is an unprimeable number.

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, 1014 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (4251195).

Almost surely, 2^120333240 is an apocalyptic number.

120333240 is a gapful number since it is divisible by the number (10) 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 120333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204057360).

120333240 is an abundant number, since it is smaller than the sum of its proper divisors (287781480).

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

120333240 is a wasteful number, since it uses less digits than its factorization.

120333240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14573 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 120333240 is about 10969.6508604422. The cubic root of 120333240 is about 493.6985709399.

Adding to 120333240 its reverse (42333021), we get a palindrome (162666261).

It can be divided in two parts, 1203 and 33240, that added together give a palindrome (34443).

The spelling of 120333240 in words is "one hundred twenty million, three hundred thirty-three thousand, two hundred forty".