221403304122 has 384 divisors, whose sum is σ = 637998778368. Its totient is φ = 50250816000.

The previous prime is 221403304117. The next prime is 221403304159.

It is a happy number.

221403304122 is nontrivially palindromic in base 10.

221403304122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221403304122² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221403304092 and 221403304101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97662433 + ... + 97664699.

It is an arithmetic number, because the mean of its divisors is an integer number (1661455152).

Almost surely, 2^221403304122 is an apocalyptic number.

221403304122 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 221403304122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318999389184).

221403304122 is an abundant number, since it is smaller than the sum of its proper divisors (416595474246).

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

221403304122 is a wasteful number, since it uses less digits than its factorization.

221403304122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 221403 and 304122, that added together give a palindrome (525525).

The spelling of 221403304122 in words is "two hundred twenty-one billion, four hundred three million, three hundred four thousand, one hundred twenty-two".