2213122213122 has 16 divisors (see below), whose sum is σ = 4441996189152. Its totient is φ = 735082110560.

The previous prime is 2213122213121. The next prime is 2213122213129.

2213122213122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2213122213092 and 2213122213101.

It is not an unprimeable number, because it can be changed into a prime (2213122213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656321628 + ... + 656324999.

It is an arithmetic number, because the mean of its divisors is an integer number (277624761822).

Almost surely, 2^{2213122213122} is an apocalyptic number.

2213122213122 is an abundant number, since it is smaller than the sum of its proper divisors (2228873976030).

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

2213122213122 is a wasteful number, since it uses less digits than its factorization.

2213122213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312646913.

The product of its digits is 1152, while the sum is 24.

The spelling of 2213122213122 in words is "two trillion, two hundred thirteen billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-two".