221344040443122 has 24 divisors (see below), whose sum is σ = 486333384638400. Its totient is φ = 72742172915160.

The previous prime is 221344040443117. The next prime is 221344040443129.

221344040443122 is a `hidden beast` number, since 2 + 2 + 13 + 4 + 40 + 40 + 443 + 122 = 666.

221344040443122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (221344040443129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86597823622 + ... + 86597826177.

It is an arithmetic number, because the mean of its divisors is an integer number (20263891026600).

Almost surely, 2^{221344040443122} is an apocalyptic number.

221344040443122 is an abundant number, since it is smaller than the sum of its proper divisors (264989344195278).

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

221344040443122 is a wasteful number, since it uses less digits than its factorization.

221344040443122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173195649878 (or 173195649875 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 221344040443122 in words is "two hundred twenty-one trillion, three hundred forty-four billion, forty million, four hundred forty-three thousand, one hundred twenty-two".