242313331004200 has 48 divisors (see below), whose sum is σ = 566525860560000. Its totient is φ = 96383850083520.

The previous prime is 242313331004189. The next prime is 242313331004233. The reversal of 242313331004200 is 2400133313242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3384228600 + ... + 3384300199.

It is an arithmetic number, because the mean of its divisors is an integer number (11802622095000).

Almost surely, 2^{242313331004200} is an apocalyptic number.

242313331004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242313331004200 is an abundant number, since it is smaller than the sum of its proper divisors (324212529555800).

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

242313331004200 is a wasteful number, since it uses less digits than its factorization.

242313331004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768528994 (or 6768528985 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 242313331004200 its reverse (2400133313242), we get a palindrome (244713464317442).

The spelling of 242313331004200 in words is "two hundred forty-two trillion, three hundred thirteen billion, three hundred thirty-one million, four thousand, two hundred".