120424320 has 320 divisors, whose sum is σ = 453198240. Its totient is φ = 30412800.

The previous prime is 120424319. The next prime is 120424349. The reversal of 120424320 is 23424021.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 120424293 and 120424302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192270 + ... + 1192370.

Almost surely, 2^120424320 is an apocalyptic number.

120424320 is a gapful number since it is divisible by the number (10) 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 120424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226599120).

120424320 is an abundant number, since it is smaller than the sum of its proper divisors (332773920).

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

120424320 is a wasteful number, since it uses less digits than its factorization.

120424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120424320 is about 10973.8015290965. The cubic root of 120424320 is about 493.8230993625.

Adding to 120424320 its reverse (23424021), we get a palindrome (143848341).

The spelling of 120424320 in words is "one hundred twenty million, four hundred twenty-four thousand, three hundred twenty".