22111000011122 has 48 divisors (see below), whose sum is σ = 36616593888000. Its totient is φ = 10006127947200.

The previous prime is 22111000011101. The next prime is 22111000011151.

22111000011122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22111000011122³ (a number of 41 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22111000011097 and 22111000011106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268847747 + ... + 268929977.

It is an arithmetic number, because the mean of its divisors is an integer number (762845706000).

Almost surely, 2^{22111000011122} is an apocalyptic number.

22111000011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111000011122 is a deficient number, since it is larger than the sum of its proper divisors (14505593876878).

22111000011122 is a wasteful number, since it uses less digits than its factorization.

22111000011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87143 (or 87132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 221110000 and 11122, that added together give a palindrome (221121122).

The spelling of 22111000011122 in words is "twenty-two trillion, one hundred eleven billion, eleven thousand, one hundred twenty-two".