112112129 has 2 divisors, whose sum is σ = 112112130. Its totient is φ = 112112128.

The previous prime is 112112123. The next prime is 112112177. The reversal of 112112129 is 921211211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76387600 + 35724529 = 8740^2 + 5977^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112112129 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112112129.

It is not a weakly prime, because it can be changed into another prime (112112123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056064 + 56056065.

It is an arithmetic number, because the mean of its divisors is an integer number (56056065).

Almost surely, 2^112112129 is an apocalyptic number.

It is an amenable number.

112112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112129 is an equidigital number, since it uses as much as digits as its factorization.

112112129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 20.

The square root of 112112129 is about 10588.3015162962. The cubic root of 112112129 is about 482.1892603982.

The spelling of 112112129 in words is "one hundred twelve million, one hundred twelve thousand, one hundred twenty-nine".