414112124 has 24 divisors (see below), whose sum is σ = 733471200. Its totient is φ = 204564416.

The previous prime is 414112121. The next prime is 414112133. The reversal of 414112124 is 421211414.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414112096 and 414112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414112121) 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 7 ways as a sum of consecutive naturals, for example, 115649 + ... + 119175.

It is an arithmetic number, because the mean of its divisors is an integer number (30561300).

Almost surely, 2^414112124 is an apocalyptic number.

It is an amenable number.

414112124 is a deficient number, since it is larger than the sum of its proper divisors (319359076).

414112124 is a wasteful number, since it uses less digits than its factorization.

414112124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3875 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 414112124 is about 20349.7450598281. The cubic root of 414112124 is about 745.3712690868.

Adding to 414112124 its reverse (421211414), we get a palindrome (835323538).

The spelling of 414112124 in words is "four hundred fourteen million, one hundred twelve thousand, one hundred twenty-four".