127112 has 8 divisors (see below), whose sum is σ = 238350. Its totient is φ = 63552.

The previous prime is 127103. The next prime is 127123. The reversal of 127112 is 211721.

It can be written as a sum of positive squares in only one way, i.e., 119716 + 7396 = 346^2 + 86^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127112.

It is an unprimeable number.

127112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7937 + ... + 7952.

2¹²⁷¹¹² is an apocalyptic number.

It is an amenable number.

127112 is a deficient number, since it is larger than the sum of its proper divisors (111238).

127112 is a wasteful number, since it uses less digits than its factorization.

127112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15895 (or 15891 counting only the distinct ones).

The product of its digits is 28, while the sum is 14.

The square root of 127112 is about 356.5276987837. The cubic root of 127112 is about 50.2800287501.

Adding to 127112 its reverse (211721), we get a palindrome (338833).

The spelling of 127112 in words is "one hundred twenty-seven thousand, one hundred twelve", and thus it is an iban number.