120124032 has 256 divisors, whose sum is σ = 399513600. Its totient is φ = 31223808.

The previous prime is 120124031. The next prime is 120124063. The reversal of 120124032 is 230421021.

It is not an unprimeable number, because it can be changed into a prime (120124031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792863 + ... + 1792929.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 2^120124032 is an apocalyptic number.

120124032 is a gapful number since it is divisible by the number (12) 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 120124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

120124032 is an abundant number, since it is smaller than the sum of its proper divisors (279389568).

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

120124032 is a wasteful number, since it uses less digits than its factorization.

120124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120124032 is about 10960.1109483435. The cubic root of 120124032 is about 493.4122948036.

Adding to 120124032 its reverse (230421021), we get a palindrome (350545053).

The spelling of 120124032 in words is "one hundred twenty million, one hundred twenty-four thousand, thirty-two".