221321323123122 has 32 divisors (see below), whose sum is σ = 454860073598400. Its totient is φ = 71739765540288.

The previous prime is 221321323123097. The next prime is 221321323123127.

It is a happy number.

221321323123122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221321323123122.

It is not an unprimeable number, because it can be changed into a prime (221321323123127) 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, 278234172 + ... + 279028487.

It is an arithmetic number, because the mean of its divisors is an integer number (14214377299950).

Almost surely, 2^{221321323123122} is an apocalyptic number.

221321323123122 is an abundant number, since it is smaller than the sum of its proper divisors (233538750475278).

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

221321323123122 is a wasteful number, since it uses less digits than its factorization.

221321323123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557264490.

The product of its digits is 10368, while the sum is 30.

The spelling of 221321323123122 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty-two".