221346643122 has 96 divisors (see below), whose sum is σ = 542644899264. Its totient is φ = 64615536000.

The previous prime is 221346643103. The next prime is 221346643129.

221346643122 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 6 + 643 + 1 + 2 + 2 = 666.

221346643122 is nontrivially palindromic in base 10.

221346643122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221346643129) 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 47 ways as a sum of consecutive naturals, for example, 590353 + ... + 889499.

It is an arithmetic number, because the mean of its divisors is an integer number (5652551034).

Almost surely, 2^221346643122 is an apocalyptic number.

221346643122 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 221346643122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271322449632).

221346643122 is an abundant number, since it is smaller than the sum of its proper divisors (321298256142).

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

221346643122 is a wasteful number, since it uses less digits than its factorization.

221346643122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299304 (or 299301 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 221346 and 643122, that added together give a palindrome (864468).

The spelling of 221346643122 in words is "two hundred twenty-one billion, three hundred forty-six million, six hundred forty-three thousand, one hundred twenty-two".