120138912 has 72 divisors (see below), whose sum is σ = 343950516. Its totient is φ = 39776256.

The previous prime is 120138911. The next prime is 120138929. The reversal of 120138912 is 219831021.

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 104976 = 10956^2 + 324^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120138911) 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 11 ways as a sum of consecutive naturals, for example, 43888 + ... + 46544.

Almost surely, 2^120138912 is an apocalyptic number.

120138912 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 120138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171975258).

120138912 is an abundant number, since it is smaller than the sum of its proper divisors (223811604).

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

120138912 is a wasteful number, since it uses less digits than its factorization.

120138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120138912 is about 10960.7897525680. The cubic root of 120138912 is about 493.4326672794.

Adding to 120138912 its reverse (219831021), we get a palindrome (339969933).

The spelling of 120138912 in words is "one hundred twenty million, one hundred thirty-eight thousand, nine hundred twelve".