120405152 has 72 divisors (see below), whose sum is σ = 292034484. Its totient is φ = 48556032.

The previous prime is 120405143. The next prime is 120405167. The reversal of 120405152 is 251504021.

It can be written as a sum of positive squares in 2 ways, for example, as 115004176 + 5400976 = 10724^2 + 2324^2 .

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, 24398 + ... + 28914.

Almost surely, 2^120405152 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 120405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146017242).

120405152 is an abundant number, since it is smaller than the sum of its proper divisors (171629332).

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

120405152 is a wasteful number, since it uses less digits than its factorization.

120405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 120405152 is about 10972.9281415673. The cubic root of 120405152 is about 493.7968972813.

Adding to 120405152 its reverse (251504021), we get a palindrome (371909173).

The spelling of 120405152 in words is "one hundred twenty million, four hundred five thousand, one hundred fifty-two".