414122121 has 48 divisors (see below), whose sum is σ = 711659520. Its totient is φ = 227132640.

The previous prime is 414122083. The next prime is 414122147. The reversal of 414122121 is 121221414.

414122121 is a `hidden beast` number, since 41 + 412 + 212 + 1 = 666.

It is not a de Polignac number, because 414122121 - 2¹¹ = 414120073 is a prime.

It is a super-2 number, since 2×414122121² = 342994262203077282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414122094 and 414122103.

It is not an unprimeable number, because it can be changed into a prime (414122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158536 + ... + 161126.

It is an arithmetic number, because the mean of its divisors is an integer number (14826240).

Almost surely, 2^414122121 is an apocalyptic number.

It is an amenable number.

414122121 is a deficient number, since it is larger than the sum of its proper divisors (297537399).

414122121 is a wasteful number, since it uses less digits than its factorization.

414122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2703 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 414122121 is about 20349.9906879586. The cubic root of 414122121 is about 745.3772669927.

Adding to 414122121 its reverse (121221414), we get a palindrome (535343535).

It can be divided in two parts, 4141 and 22121, that added together give a palindrome (26262).

The spelling of 414122121 in words is "four hundred fourteen million, one hundred twenty-two thousand, one hundred twenty-one".