242152120345005 has 256 divisors, whose sum is σ = 481843197158400. Its totient is φ = 114563898408960.

The previous prime is 242152120345001. The next prime is 242152120345043. The reversal of 242152120345005 is 500543021251242.

242152120345005 is a `hidden beast` number, since 2 + 4 + 21 + 5 + 2 + 120 + 3 + 4 + 500 + 5 = 666.

It is not a de Polignac number, because 242152120345005 - 2² = 242152120345001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242152120345001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10394121517 + ... + 10394144813.

It is an arithmetic number, because the mean of its divisors is an integer number (1882199988900).

Almost surely, 2^{242152120345005} is an apocalyptic number.

It is an amenable number.

242152120345005 is a deficient number, since it is larger than the sum of its proper divisors (239691076813395).

242152120345005 is a wasteful number, since it uses less digits than its factorization.

242152120345005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24301 (or 24295 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 242152120345005 its reverse (500543021251242), we get a palindrome (742695141596247).

The spelling of 242152120345005 in words is "two hundred forty-two trillion, one hundred fifty-two billion, one hundred twenty million, three hundred forty-five thousand, five".