242432320200 has 192 divisors, whose sum is σ = 904108800000. Its totient is φ = 52496605440.

The previous prime is 242432320171. The next prime is 242432320253. The reversal of 242432320200 is 2023234242.

It is a happy number.

242432320200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439200 + ... + 1598799.

It is an arithmetic number, because the mean of its divisors is an integer number (4708900000).

Almost surely, 2^242432320200 is an apocalyptic number.

242432320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242432320200 is an abundant number, since it is smaller than the sum of its proper divisors (661676479800).

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

242432320200 is a wasteful number, since it uses less digits than its factorization.

242432320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038044 (or 3038035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 242432320200 its reverse (2023234242), we get a palindrome (244455554442).

The spelling of 242432320200 in words is "two hundred forty-two billion, four hundred thirty-two million, three hundred twenty thousand, two hundred".