112211221122 has 384 divisors, whose sum is σ = 355011890688. Its totient is φ = 24634368000.

The previous prime is 112211221099. The next prime is 112211221151. The reversal of 112211221122 is 221122112211.

112211221122 is a `hidden beast` number, since 112 + 211 + 221 + 122 = 666.

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.

112211221122 is a modest number, since divided by 11221122 gives 1122 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 112211221095 and 112211221104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11328372 + ... + 11338272.

It is an arithmetic number, because the mean of its divisors is an integer number (924510132).

Almost surely, 2^112211221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112211221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177505945344).

112211221122 is an abundant number, since it is smaller than the sum of its proper divisors (242800669566).

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

112211221122 is a wasteful number, since it uses less digits than its factorization.

112211221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9991 counting only the distinct ones).

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

Adding to 112211221122 its reverse (221122112211), we get a palindrome (333333333333).

It can be divided in two parts, 1122112211 and 22, that multiplied together give a palindrome (24686468642).

The spelling of 112211221122 in words is "one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".