112122011122011 has 72 divisors (see below), whose sum is σ = 184732462540080. Its totient is φ = 67907193203520.

The previous prime is 112122011122007. The next prime is 112122011122013. The reversal of 112122011122011 is 110221110221211.

It is a happy number.

112122011122011 is a `hidden beast` number, since 11 + 212 + 201 + 11 + 220 + 11 = 666.

It is not a de Polignac number, because 112122011122011 - 2² = 112122011122007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112122011122013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42621625 + ... + 45175733.

It is an arithmetic number, because the mean of its divisors is an integer number (2565728646390).

Almost surely, 2^{112122011122011} is an apocalyptic number.

112122011122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112122011122011 is a deficient number, since it is larger than the sum of its proper divisors (72610451418069).

112122011122011 is a wasteful number, since it uses less digits than its factorization.

112122011122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555639 (or 2555616 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112122011122011 its reverse (110221110221211), we get a palindrome (222343121343222).

The spelling of 112122011122011 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, eleven".