127012 has 12 divisors (see below), whose sum is σ = 225036. Its totient is φ = 62720.

The previous prime is 126989. The next prime is 127031. The reversal of 127012 is 210721.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 92416 = 186^2 + 304^2 .

It is a super-2 number, since 2×127012² = 32264096288, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 126983 and 127001.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 312 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (18753).

2¹²⁷⁰¹² is an apocalyptic number.

It is an amenable number.

127012 is a deficient number, since it is larger than the sum of its proper divisors (98024).

127012 is a wasteful number, since it uses less digits than its factorization.

127012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 127012 is about 356.3874296324. The cubic root of 127012 is about 50.2668400610.

Adding to 127012 its reverse (210721), we get a palindrome (337733).

The spelling of 127012 in words is "one hundred twenty-seven thousand, twelve", and thus it is an iban number.