416122125 has 32 divisors (see below), whose sum is σ = 702224640. Its totient is φ = 218792000.

The previous prime is 416122087. The next prime is 416122127. The reversal of 416122125 is 521221614.

It is not a de Polignac number, because 416122125 - 2⁶ = 416122061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416122095 and 416122104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18811 + ... + 34439.

It is an arithmetic number, because the mean of its divisors is an integer number (21944520).

Almost surely, 2^416122125 is an apocalyptic number.

It is an amenable number.

416122125 is a deficient number, since it is larger than the sum of its proper divisors (286102515).

416122125 is a wasteful number, since it uses less digits than its factorization.

416122125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15718 (or 15708 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 416122125 is about 20399.0716700540. The cubic root of 416122125 is about 746.5752743644.

Adding to 416122125 its reverse (521221614), we get a palindrome (937343739).

The spelling of 416122125 in words is "four hundred sixteen million, one hundred twenty-two thousand, one hundred twenty-five".