127012257 has 12 divisors (see below), whose sum is σ = 189788820. Its totient is φ = 81754848.

The previous prime is 127012243. The next prime is 127012271. The reversal of 127012257 is 752210721.

It is an interprime number because it is at equal distance from previous prime (127012243) and next prime (127012271).

It can be written as a sum of positive squares in 2 ways, for example, as 60279696 + 66732561 = 7764^2 + 8169^2 .

It is not a de Polignac number, because 127012257 - 2²³ = 118623649 is a prime.

It is a super-2 number, since 2×127012257² = 32264226856468098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127012257.

It is not an unprimeable number, because it can be changed into a prime (127012217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243058 + ... + 243579.

It is an arithmetic number, because the mean of its divisors is an integer number (15815735).

Almost surely, 2^127012257 is an apocalyptic number.

It is an amenable number.

127012257 is a deficient number, since it is larger than the sum of its proper divisors (62776563).

127012257 is a wasteful number, since it uses less digits than its factorization.

127012257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486672 (or 486669 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 127012257 is about 11269.9714729009. The cubic root of 127012257 is about 502.6687396478.

Adding to 127012257 its reverse (752210721), we get a palindrome (879222978).

The spelling of 127012257 in words is "one hundred twenty-seven million, twelve thousand, two hundred fifty-seven".