414242123121 has 48 divisors (see below), whose sum is σ = 651355024320. Its totient is φ = 252668021760.

The previous prime is 414242123069. The next prime is 414242123129. The reversal of 414242123121 is 121321242414.

414242123121 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 421 + 231 + 2 + 1 = 666.

It is not a de Polignac number, because 414242123121 - 2¹⁰ = 414242122097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414242123129) by changing a digit.

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, 1238965 + ... + 1537373.

It is an arithmetic number, because the mean of its divisors is an integer number (13569896340).

Almost surely, 2^414242123121 is an apocalyptic number.

It is an amenable number.

414242123121 is a deficient number, since it is larger than the sum of its proper divisors (237112901199).

414242123121 is a wasteful number, since it uses less digits than its factorization.

414242123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298686 (or 298683 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 414242123121 its reverse (121321242414), we get a palindrome (535563365535).

The spelling of 414242123121 in words is "four hundred fourteen billion, two hundred forty-two million, one hundred twenty-three thousand, one hundred twenty-one".