242313123504000 has 128 divisors (see below), whose sum is σ = 803268004574880. Its totient is φ = 64616832921600.

The previous prime is 242313123503993. The next prime is 242313123504013. The reversal of 242313123504000 is 405321313242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2524047037 + ... + 2524143036.

Almost surely, 2^{242313123504000} is an apocalyptic number.

242313123504000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242313123504000 is an abundant number, since it is smaller than the sum of its proper divisors (560954881070880).

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

242313123504000 is an equidigital number, since it uses as much as digits as its factorization.

242313123504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048190105 (or 5048190083 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 242313123504000 its reverse (405321313242), we get a palindrome (242718444817242).

The spelling of 242313123504000 in words is "two hundred forty-two trillion, three hundred thirteen billion, one hundred twenty-three million, five hundred four thousand".