112042129 has 2 divisors, whose sum is σ = 112042130. Its totient is φ = 112042128.

The previous prime is 112042111. The next prime is 112042181. The reversal of 112042129 is 921240211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111513600 + 528529 = 10560^2 + 727^2 .

It is a cyclic number.

It is not a de Polignac number, because 112042129 - 2¹⁵ = 112009361 is a prime.

It is not a weakly prime, because it can be changed into another prime (112042199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56021064 + 56021065.

It is an arithmetic number, because the mean of its divisors is an integer number (56021065).

Almost surely, 2^112042129 is an apocalyptic number.

It is an amenable number.

112042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112042129 is an equidigital number, since it uses as much as digits as its factorization.

112042129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 112042129 is about 10584.9954652801. The cubic root of 112042129 is about 482.0888838797.

The spelling of 112042129 in words is "one hundred twelve million, forty-two thousand, one hundred twenty-nine".