21122233222112 has 192 divisors, whose sum is σ = 48055073472000. Its totient is φ = 9049291130880.

The previous prime is 21122233222039. The next prime is 21122233222127.

21122233222112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21122233222112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107565683 + ... + 107761869.

It is an arithmetic number, because the mean of its divisors is an integer number (250286841000).

Almost surely, 2^{21122233222112} is an apocalyptic number.

21122233222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122233222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24027536736000).

21122233222112 is an abundant number, since it is smaller than the sum of its proper divisors (26932840249888).

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

21122233222112 is a wasteful number, since it uses less digits than its factorization.

21122233222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196489 (or 196481 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 2112223 and 3222112, that added together give a palindrome (5334335).

The spelling of 21122233222112 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred thirty-three million, two hundred twenty-two thousand, one hundred twelve".