120144384 has 100 divisors (see below), whose sum is σ = 358723134. Its totient is φ = 40034304.

The previous prime is 120144383. The next prime is 120144421. The reversal of 120144384 is 483441021.

It can be written as a sum of positive squares in only one way, i.e., 116640000 + 3504384 = 10800^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120144383) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40024 + ... + 42920.

Almost surely, 2^120144384 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 120144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179361567).

120144384 is an abundant number, since it is smaller than the sum of its proper divisors (238578750).

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

120144384 is an frugal number, since it uses more digits than its factorization.

120144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 120144384 is about 10961.0393667754. The cubic root of 120144384 is about 493.4401586700.

The spelling of 120144384 in words is "one hundred twenty million, one hundred forty-four thousand, three hundred eighty-four".