412123221 has 20 divisors (see below), whose sum is σ = 621999532. Its totient is φ = 271911168.

The previous prime is 412123219. The next prime is 412123237. The reversal of 412123221 is 122321214.

It is a happy number.

412123221 is a `hidden beast` number, since 412 + 1 + 232 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175271121 + 236852100 = 13239^2 + 15390^2 .

It is not a de Polignac number, because 412123221 - 2¹ = 412123219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412123194 and 412123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412123211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18370 + ... + 34083.

Almost surely, 2^412123221 is an apocalyptic number.

It is an amenable number.

412123221 is a deficient number, since it is larger than the sum of its proper divisors (209876311).

412123221 is an equidigital number, since it uses as much as digits as its factorization.

412123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52562 (or 52553 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 412123221 is about 20300.8182347412. The cubic root of 412123221 is about 744.1760607009.

Adding to 412123221 its reverse (122321214), we get a palindrome (534444435).

The spelling of 412123221 in words is "four hundred twelve million, one hundred twenty-three thousand, two hundred twenty-one".