221314343413122 has 24 divisors (see below), whose sum is σ = 490665908654064. Its totient is φ = 72055832738904.

The previous prime is 221314343413081. The next prime is 221314343413123.

221314343413122 is a `hidden beast` number, since 2 + 2 + 1 + 31 + 43 + 434 + 131 + 22 = 666.

221314343413122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (221314343413123) 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 11 ways as a sum of consecutive naturals, for example, 142967921328 + ... + 142967922875.

It is an arithmetic number, because the mean of its divisors is an integer number (20444412860586).

Almost surely, 2^{221314343413122} is an apocalyptic number.

221314343413122 is an abundant number, since it is smaller than the sum of its proper divisors (269351565240942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221314343413122 is a wasteful number, since it uses less digits than its factorization.

221314343413122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285935844254 (or 285935844251 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 221314343413122 in words is "two hundred twenty-one trillion, three hundred fourteen billion, three hundred forty-three million, four hundred thirteen thousand, one hundred twenty-two".