120385824 has 96 divisors (see below), whose sum is σ = 358303680. Its totient is φ = 35085312.

The previous prime is 120385817. The next prime is 120385829. The reversal of 120385824 is 428583021.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (120385829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21174 + ... + 26250.

It is an arithmetic number, because the mean of its divisors is an integer number (3732330).

Almost surely, 2^120385824 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 120385824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179151840).

120385824 is an abundant number, since it is smaller than the sum of its proper divisors (237917856).

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

120385824 is a wasteful number, since it uses less digits than its factorization.

120385824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 120385824 is about 10972.0473932626. The cubic root of 120385824 is about 493.7704736690.

The spelling of 120385824 in words is "one hundred twenty million, three hundred eighty-five thousand, eight hundred twenty-four".