414321242121 has 12 divisors (see below), whose sum is σ = 598572485940. Its totient is φ = 276164098560.

The previous prime is 414321242099. The next prime is 414321242143. The reversal of 414321242121 is 121242123414.

414321242121 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 212 + 421 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (414321242099) and next prime (414321242143).

It can be written as a sum of positive squares in 2 ways, for example, as 90405455625 + 323915786496 = 300675^2 + 569136^2 .

It is not a de Polignac number, because 414321242121 - 2⁶ = 414321242057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414321242161) 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 11 ways as a sum of consecutive naturals, for example, 4119456 + ... + 4218833.

It is an arithmetic number, because the mean of its divisors is an integer number (49881040495).

Almost surely, 2^414321242121 is an apocalyptic number.

It is an amenable number.

414321242121 is a deficient number, since it is larger than the sum of its proper divisors (184251243819).

414321242121 is a wasteful number, since it uses less digits than its factorization.

414321242121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343816 (or 8343813 counting only the distinct ones).

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

Adding to 414321242121 its reverse (121242123414), we get a palindrome (535563365535).

The spelling of 414321242121 in words is "four hundred fourteen billion, three hundred twenty-one million, two hundred forty-two thousand, one hundred twenty-one".