120242400 has 72 divisors (see below), whose sum is σ = 391396824. Its totient is φ = 32064000.

The previous prime is 120242389. The next prime is 120242401. The reversal of 120242400 is 4242021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120242400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120242401) 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 11 ways as a sum of consecutive naturals, for example, 22651 + ... + 27450.

It is an arithmetic number, because the mean of its divisors is an integer number (5436067).

Almost surely, 2^120242400 is an apocalyptic number.

120242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120242400 is an abundant number, since it is smaller than the sum of its proper divisors (271154424).

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

120242400 is a wasteful number, since it uses less digits than its factorization.

120242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50124 (or 50111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 120242400 is about 10965.5095640832. The cubic root of 120242400 is about 493.5743080509.

Adding to 120242400 its reverse (4242021), we get a palindrome (124484421).

The spelling of 120242400 in words is "one hundred twenty million, two hundred forty-two thousand, four hundred".