111122212122 has 112 divisors (see below), whose sum is σ = 261097982280. Its totient is φ = 35408016000.

The previous prime is 111122212081. The next prime is 111122212163. The reversal of 111122212122 is 221212221111.

It is an interprime number because it is at equal distance from previous prime (111122212081) and next prime (111122212163).

It can be written as a sum of positive squares in 4 ways, for example, as 104678778681 + 6443433441 = 323541^2 + 80271^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 111122212095 and 111122212104.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4257472 + ... + 4283492.

Almost surely, 2^111122212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111122212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130548991140).

111122212122 is an abundant number, since it is smaller than the sum of its proper divisors (149975770158).

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

111122212122 is a wasteful number, since it uses less digits than its factorization.

111122212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26171 (or 26156 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 111122212122 its reverse (221212221111), we get a palindrome (332334433233).

The spelling of 111122212122 in words is "one hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".