112005111121 has 8 divisors (see below), whose sum is σ = 112467769704. Its totient is φ = 111542661120.

The previous prime is 112005111079. The next prime is 112005111157. The reversal of 112005111121 is 121111500211.

It can be written as a sum of positive squares in 4 ways, for example, as 55430110096 + 56575001025 = 235436^2 + 237855^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 112005111121 - 2¹⁷ = 112004980049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112005111095 and 112005111104.

It is not an unprimeable number, because it can be changed into a prime (112005111521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074031 + ... + 1173691.

It is an arithmetic number, because the mean of its divisors is an integer number (14058471213).

Almost surely, 2^112005111121 is an apocalyptic number.

It is an amenable number.

112005111121 is a deficient number, since it is larger than the sum of its proper divisors (462658583).

112005111121 is an equidigital number, since it uses as much as digits as its factorization.

112005111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104291.

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 112005111121 its reverse (121111500211), we get a palindrome (233116611332).

The spelling of 112005111121 in words is "one hundred twelve billion, five million, one hundred eleven thousand, one hundred twenty-one".