221234242432122 has 192 divisors, whose sum is σ = 507658264289280. Its totient is φ = 69531206879232.

The previous prime is 221234242432117. The next prime is 221234242432169.

It is a happy number.

221234242432122 is a `hidden beast` number, since 2 + 2 + 1 + 23 + 42 + 42 + 432 + 122 = 666.

221234242432122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1999404603 + ... + 1999515249.

It is an arithmetic number, because the mean of its divisors is an integer number (2644053459840).

Almost surely, 2^{221234242432122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221234242432122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253829132144640).

221234242432122 is an abundant number, since it is smaller than the sum of its proper divisors (286424021857158).

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

221234242432122 is a wasteful number, since it uses less digits than its factorization.

221234242432122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111277 (or 111274 counting only the distinct ones).

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

The spelling of 221234242432122 in words is "two hundred twenty-one trillion, two hundred thirty-four billion, two hundred forty-two million, four hundred thirty-two thousand, one hundred twenty-two".