2213201332122 has 128 divisors (see below), whose sum is σ = 5189992704000. Its totient is φ = 622127278080.

The previous prime is 2213201332109. The next prime is 2213201332151. The reversal of 2213201332122 is 2212331023122.

It is a junction number, because it is equal to n+sod(n) for n = 2213201332092 and 2213201332101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11399154 + ... + 11591682.

It is an arithmetic number, because the mean of its divisors is an integer number (40546818000).

Almost surely, 2^{2213201332122} is an apocalyptic number.

2213201332122 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 2213201332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594996352000).

2213201332122 is an abundant number, since it is smaller than the sum of its proper divisors (2976791371878).

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

2213201332122 is a wasteful number, since it uses less digits than its factorization.

2213201332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192756.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2213201332122 its reverse (2212331023122), we get a palindrome (4425532355244).

The spelling of 2213201332122 in words is "two trillion, two hundred thirteen billion, two hundred one million, three hundred thirty-two thousand, one hundred twenty-two".