22122211222122 has 64 divisors (see below), whose sum is σ = 48774327275520. Its totient is φ = 6633352440000.

The previous prime is 22122211222091. The next prime is 22122211222169.

It is a happy number.

22122211222122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22122211222122³ (a number of 41 digits) contains 333 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 = 22122211222092 and 22122211222101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3355363 + ... + 7450025.

It is an arithmetic number, because the mean of its divisors is an integer number (762098863680).

Almost surely, 2^{22122211222122} is an apocalyptic number.

22122211222122 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 22122211222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24387163637760).

22122211222122 is an abundant number, since it is smaller than the sum of its proper divisors (26652116053398).

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

22122211222122 is a wasteful number, since it uses less digits than its factorization.

22122211222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095539.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 2212221 and 1222122, that added together give a palindrome (3434343).

The spelling of 22122211222122 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-two".