112129307 has 2 divisors, whose sum is σ = 112129308. Its totient is φ = 112129306.

The previous prime is 112129273. The next prime is 112129309. The reversal of 112129307 is 703921211.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 112129307 - 2²⁴ = 95352091 is a prime.

Together with 112129309, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112129309) 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 as a sum of consecutive naturals, namely, 56064653 + 56064654.

It is an arithmetic number, because the mean of its divisors is an integer number (56064654).

Almost surely, 2^112129307 is an apocalyptic number.

112129307 is a deficient number, since it is larger than the sum of its proper divisors (1).

112129307 is an equidigital number, since it uses as much as digits as its factorization.

112129307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 112129307 is about 10589.1126634860. The cubic root of 112129307 is about 482.2138864108.

The spelling of 112129307 in words is "one hundred twelve million, one hundred twenty-nine thousand, three hundred seven".