434122312221 has 48 divisors (see below), whose sum is σ = 688268206080. Its totient is φ = 262069758720.

The previous prime is 434122312213. The next prime is 434122312229. The reversal of 434122312221 is 122213221434.

434122312221 is a `hidden beast` number, since 4 + 3 + 4 + 122 + 312 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (434122312213) and next prime (434122312229).

It is not a de Polignac number, because 434122312221 - 2³ = 434122312213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434122312229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158316 + ... + 1486586.

It is an arithmetic number, because the mean of its divisors is an integer number (14338920960).

Almost surely, 2^434122312221 is an apocalyptic number.

It is an amenable number.

434122312221 is a deficient number, since it is larger than the sum of its proper divisors (254145893859).

434122312221 is a wasteful number, since it uses less digits than its factorization.

434122312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328506 (or 328503 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 434122312221 its reverse (122213221434), we get a palindrome (556335533655).

The spelling of 434122312221 in words is "four hundred thirty-four billion, one hundred twenty-two million, three hundred twelve thousand, two hundred twenty-one".