221433334122 has 256 divisors, whose sum is σ = 621076377600. Its totient is φ = 50777487360.

The previous prime is 221433334117. The next prime is 221433334123.

It is a happy number.

221433334122 is nontrivially palindromic in base 10.

221433334122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221433334122.

It is not an unprimeable number, because it can be changed into a prime (221433334123) 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 127 ways as a sum of consecutive naturals, for example, 13102654 + ... + 13119542.

It is an arithmetic number, because the mean of its divisors is an integer number (2426079600).

Almost surely, 2^221433334122 is an apocalyptic number.

221433334122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221433334122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310538188800).

221433334122 is an abundant number, since it is smaller than the sum of its proper divisors (399643043478).

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

221433334122 is a wasteful number, since it uses less digits than its factorization.

221433334122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17021.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 221433 and 334122, that added together give a palindrome (555555).

The spelling of 221433334122 in words is "two hundred twenty-one billion, four hundred thirty-three million, three hundred thirty-four thousand, one hundred twenty-two".