127112129 has 2 divisors, whose sum is σ = 127112130. Its totient is φ = 127112128.

The previous prime is 127112047. The next prime is 127112143. The reversal of 127112129 is 921211721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81414529 + 45697600 = 9023^2 + 6760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127112129 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 127112098 and 127112107.

It is not a weakly prime, because it can be changed into another prime (127112149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63556064 + 63556065.

It is an arithmetic number, because the mean of its divisors is an integer number (63556065).

Almost surely, 2^127112129 is an apocalyptic number.

It is an amenable number.

127112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

127112129 is an equidigital number, since it uses as much as digits as its factorization.

127112129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 26.

The square root of 127112129 is about 11274.4014918753. The cubic root of 127112129 is about 502.8004575909.

The spelling of 127112129 in words is "one hundred twenty-seven million, one hundred twelve thousand, one hundred twenty-nine".