221232282232122 has 96 divisors (see below), whose sum is σ = 559569344435712. Its totient is φ = 61853236445952.

The previous prime is 221232282232051. The next prime is 221232282232127.

221232282232122 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 32 + 282 + 2 + 321 + 22 = 666.

221232282232122 is nontrivially palindromic in base 10.

221232282232122 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 (221232282232127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29651638 + ... + 36354974.

It is an arithmetic number, because the mean of its divisors is an integer number (5828847337872).

Almost surely, 2^{221232282232122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221232282232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279784672217856).

221232282232122 is an abundant number, since it is smaller than the sum of its proper divisors (338337062203590).

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

221232282232122 is a wasteful number, since it uses less digits than its factorization.

221232282232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708972 (or 6708969 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 221232282232122 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, two hundred eighty-two million, two hundred thirty-two thousand, one hundred twenty-two".