120244800 has 336 divisors, whose sum is σ = 444471552. Its totient is φ = 28262400.

The previous prime is 120244799. The next prime is 120244801. The reversal of 120244800 is 8442021.

It is an interprime number because it is at equal distance from previous prime (120244799) and next prime (120244801).

It is not an unprimeable number, because it can be changed into a prime (120244801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2558377 + ... + 2558423.

It is an arithmetic number, because the mean of its divisors is an integer number (1322832).

Almost surely, 2^120244800 is an apocalyptic number.

120244800 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 120244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235776).

120244800 is an abundant number, since it is smaller than the sum of its proper divisors (324226752).

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

120244800 is a wasteful number, since it uses less digits than its factorization.

120244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 120244800 is about 10965.6189975760. The cubic root of 120244800 is about 493.5775918910.

Adding to 120244800 its reverse (8442021), we get a palindrome (128686821).

The spelling of 120244800 in words is "one hundred twenty million, two hundred forty-four thousand, eight hundred".