221334433122 has 64 divisors (see below), whose sum is σ = 502948942848. Its totient is φ = 64339128000.

The previous prime is 221334433121. The next prime is 221334433123.

It is a happy number.

221334433122 is nontrivially palindromic in base 10.

221334433122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221334433121) and next prime (221334433123).

It is a self number, because there is not a number n which added to its sum of digits gives 221334433122.

It is not an unprimeable number, because it can be changed into a prime (221334433121) 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 31 ways as a sum of consecutive naturals, for example, 464904 + ... + 811667.

It is an arithmetic number, because the mean of its divisors is an integer number (7858577232).

Almost surely, 2^221334433122 is an apocalyptic number.

221334433122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221334433122 is an abundant number, since it is smaller than the sum of its proper divisors (281614509726).

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

221334433122 is a wasteful number, since it uses less digits than its factorization.

221334433122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276695.

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

It can be divided in two parts, 221334 and 433122, that added together give a palindrome (654456).

The spelling of 221334433122 in words is "two hundred twenty-one billion, three hundred thirty-four million, four hundred thirty-three thousand, one hundred twenty-two".