120300240 has 80 divisors (see below), whose sum is σ = 381636288. Its totient is φ = 31331328.

The previous prime is 120300163. The next prime is 120300241. The reversal of 120300240 is 42003021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120300241) 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 15 ways as a sum of consecutive naturals, for example, 4492 + ... + 16148.

Almost surely, 2^120300240 is an apocalyptic number.

120300240 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 120300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190818144).

120300240 is an abundant number, since it is smaller than the sum of its proper divisors (261336048).

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

120300240 is a wasteful number, since it uses less digits than its factorization.

120300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11716 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 120300240 is about 10968.1466073353. The cubic root of 120300240 is about 493.6534364385.

Adding to 120300240 its reverse (42003021), we get a palindrome (162303261).

The spelling of 120300240 in words is "one hundred twenty million, three hundred thousand, two hundred forty".