415220121 has 16 divisors (see below), whose sum is σ = 651326400. Its totient is φ = 260529984.

The previous prime is 415220077. The next prime is 415220123. The reversal of 415220121 is 121022514.

It is not a de Polignac number, because 415220121 - 2¹⁰ = 415219097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 415220094 and 415220103.

It is not an unprimeable number, because it can be changed into a prime (415220123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451851 + ... + 452768.

It is an arithmetic number, because the mean of its divisors is an integer number (40707900).

Almost surely, 2^415220121 is an apocalyptic number.

It is an amenable number.

415220121 is a deficient number, since it is larger than the sum of its proper divisors (236106279).

415220121 is a wasteful number, since it uses less digits than its factorization.

415220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904645 (or 904639 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 415220121 is about 20376.9507287033. The cubic root of 415220121 is about 746.0354480301.

Adding to 415220121 its reverse (121022514), we get a palindrome (536242635).

The spelling of 415220121 in words is "four hundred fifteen million, two hundred twenty thousand, one hundred twenty-one".