120144024 has 192 divisors, whose sum is σ = 437149440. Its totient is φ = 28788480.

The previous prime is 120144023. The next prime is 120144047. The reversal of 120144024 is 420441021.

120144024 is a `hidden beast` number, since 1 + 201 + 440 + 24 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120143988 and 120144006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120144023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71239 + ... + 72905.

It is an arithmetic number, because the mean of its divisors is an integer number (2276820).

Almost surely, 2^120144024 is an apocalyptic number.

120144024 is a gapful number since it is divisible by the number (14) 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 120144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218574720).

120144024 is an abundant number, since it is smaller than the sum of its proper divisors (317005416).

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

120144024 is a wasteful number, since it uses less digits than its factorization.

120144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120144024 is about 10961.0229449628. The cubic root of 120144024 is about 493.4396658224.

Adding to 120144024 its reverse (420441021), we get a palindrome (540585045).

The spelling of 120144024 in words is "one hundred twenty million, one hundred forty-four thousand, twenty-four".