120304800 has 648 divisors, whose sum is σ = 555714432. Its totient is φ = 24192000.

The previous prime is 120304799. The next prime is 120304823. The reversal of 120304800 is 8403021.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880785 + ... + 3880815.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 2^120304800 is an apocalyptic number.

120304800 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 120304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

120304800 is an abundant number, since it is smaller than the sum of its proper divisors (435409632).

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

120304800 is a wasteful number, since it uses less digits than its factorization.

120304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120304800 is about 10968.3544800485. The cubic root of 120304800 is about 493.6596736974.

Adding to 120304800 its reverse (8403021), we get a palindrome (128707821).

It can be divided in two parts, 120304 and 800, that added together give a square (121104 = 348²).

The spelling of 120304800 in words is "one hundred twenty million, three hundred four thousand, eight hundred".