414112121 has 2 divisors, whose sum is σ = 414112122. Its totient is φ = 414112120.

The previous prime is 414112073. The next prime is 414112133. The reversal of 414112121 is 121211414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397005625 + 17106496 = 19925^2 + 4136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414112121 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414112121.

It is not a weakly prime, because it can be changed into another prime (414118121) 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 as a sum of consecutive naturals, namely, 207056060 + 207056061.

It is an arithmetic number, because the mean of its divisors is an integer number (207056061).

Almost surely, 2^414112121 is an apocalyptic number.

It is an amenable number.

414112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414112121 is an equidigital number, since it uses as much as digits as its factorization.

414112121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64, while the sum is 17.

The square root of 414112121 is about 20349.7449861171. The cubic root of 414112121 is about 745.3712672869.

Adding to 414112121 its reverse (121211414), we get a palindrome (535323535).

The spelling of 414112121 in words is "four hundred fourteen million, one hundred twelve thousand, one hundred twenty-one".