221388883122 has 128 divisors (see below), whose sum is σ = 522994268160. Its totient is φ = 61769917440.

The previous prime is 221388883073. The next prime is 221388883153.

221388883122 is nontrivially palindromic in base 10.

221388883122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14827953 + ... + 14842875.

It is an arithmetic number, because the mean of its divisors is an integer number (4085892720).

Almost surely, 2^221388883122 is an apocalyptic number.

221388883122 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 221388883122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261497134080).

221388883122 is an abundant number, since it is smaller than the sum of its proper divisors (301605385038).

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

221388883122 is a wasteful number, since it uses less digits than its factorization.

221388883122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328.

The product of its digits is 589824, while the sum is 48.

The spelling of 221388883122 in words is "two hundred twenty-one billion, three hundred eighty-eight million, eight hundred eighty-three thousand, one hundred twenty-two".