412131221 has 16 divisors (see below), whose sum is σ = 457446528. Its totient is φ = 369600000.

The previous prime is 412131217. The next prime is 412131253. The reversal of 412131221 is 122131214.

It is a cyclic number.

It is not a de Polignac number, because 412131221 - 2² = 412131217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 412131221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412131721) 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, 23096 + ... + 36846.

It is an arithmetic number, because the mean of its divisors is an integer number (28590408).

Almost surely, 2^412131221 is an apocalyptic number.

412131221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

412131221 is a deficient number, since it is larger than the sum of its proper divisors (45315307).

412131221 is a wasteful number, since it uses less digits than its factorization.

412131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13852.

The product of its digits is 96, while the sum is 17.

The square root of 412131221 is about 20301.0152701780. The cubic root of 412131221 is about 744.1808759031.

Adding to 412131221 its reverse (122131214), we get a palindrome (534262435).

The spelling of 412131221 in words is "four hundred twelve million, one hundred thirty-one thousand, two hundred twenty-one".