120799824 has 80 divisors (see below), whose sum is σ = 332175168. Its totient is φ = 37697536.

The previous prime is 120799801. The next prime is 120799837. The reversal of 120799824 is 428997021.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 258439 + ... + 258905.

Almost surely, 2^120799824 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 120799824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166087584).

120799824 is an abundant number, since it is smaller than the sum of its proper divisors (211375344).

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

120799824 is a wasteful number, since it uses less digits than its factorization.

120799824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 120799824 is about 10990.8973246046. The cubic root of 120799824 is about 494.3358422628.

The spelling of 120799824 in words is "one hundred twenty million, seven hundred ninety-nine thousand, eight hundred twenty-four".