22111211211122 has 8 divisors (see below), whose sum is σ = 36181981981872. Its totient is φ = 10050550550500.

The previous prime is 22111211211083. The next prime is 22111211211137.

It is a happy number.

22111211211122 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×22111211211122² (a number of 27 digits) contains 22 as substring.

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 = 22111211211094 and 22111211211103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 502527527504 + ... + 502527527547.

It is an arithmetic number, because the mean of its divisors is an integer number (4522747747734).

Almost surely, 2^{22111211211122} is an apocalyptic number.

22111211211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111211211122 is a deficient number, since it is larger than the sum of its proper divisors (14070770770750).

22111211211122 is a wasteful number, since it uses less digits than its factorization.

22111211211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005055055064.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 2211121 and 1211122, that added together give a palindrome (3422243).

The spelling of 22111211211122 in words is "twenty-two trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-two".