505200416121 has 8 divisors (see below), whose sum is σ = 748445060960. Its totient is φ = 336800277396.

The previous prime is 505200416093. The next prime is 505200416177. The reversal of 505200416121 is 121614002505.

505200416121 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 0 + 0 + 41 + 612 + 1 = 666.

It is not a de Polignac number, because 505200416121 - 2¹⁸ = 505200153977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 18711126523 = 505200416121 / (5 + 0 + 5 + 2 + 0 + 0 + 4 + 1 + 6 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505200416321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9355563235 + ... + 9355563288.

It is an arithmetic number, because the mean of its divisors is an integer number (93555632620).

Almost surely, 2^505200416121 is an apocalyptic number.

It is an amenable number.

505200416121 is a deficient number, since it is larger than the sum of its proper divisors (243244644839).

505200416121 is a wasteful number, since it uses less digits than its factorization.

505200416121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18711126532 (or 18711126526 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 505200416121 its reverse (121614002505), we get a palindrome (626814418626).

The spelling of 505200416121 in words is "five hundred five billion, two hundred million, four hundred sixteen thousand, one hundred twenty-one".