120301344 has 72 divisors (see below), whose sum is σ = 344717100. Its totient is φ = 39794688.

The previous prime is 120301283. The next prime is 120301351. The reversal of 120301344 is 443103021.

120301344 is a `hidden beast` number, since 1 + 20 + 301 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116380944 + 3920400 = 10788^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 37932 + ... + 40980.

Almost surely, 2^120301344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172358550).

120301344 is an abundant number, since it is smaller than the sum of its proper divisors (224415756).

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

120301344 is a wasteful number, since it uses less digits than its factorization.

120301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120301344 is about 10968.1969347746. The cubic root of 120301344 is about 493.6549465261.

Adding to 120301344 its reverse (443103021), we get a palindrome (563404365).

The spelling of 120301344 in words is "one hundred twenty million, three hundred one thousand, three hundred forty-four".