112112122121 has 8 divisors (see below), whose sum is σ = 118790048520. Its totient is φ = 105443428608.

The previous prime is 112112122117. The next prime is 112112122141. The reversal of 112112122121 is 121221211211.

It can be written as a sum of positive squares in 4 ways, for example, as 526060096 + 111586062025 = 22936^2 + 334045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 112112122121 - 2² = 112112122117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112112122121.

It is not an unprimeable number, because it can be changed into a prime (112112122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2283206 + ... + 2331791.

It is an arithmetic number, because the mean of its divisors is an integer number (14848756065).

Almost surely, 2^112112122121 is an apocalyptic number.

It is an amenable number.

112112122121 is a deficient number, since it is larger than the sum of its proper divisors (6677926399).

112112122121 is a wasteful number, since it uses less digits than its factorization.

112112122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616443.

The product of its digits is 32, while the sum is 17.

Adding to 112112122121 its reverse (121221211211), we get a palindrome (233333333332).

The spelling of 112112122121 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".