127117126 has 24 divisors (see below), whose sum is σ = 207571896. Its totient is φ = 58181760.

The previous prime is 127117117. The next prime is 127117127. The reversal of 127117126 is 621711721.

It is a junction number, because it is equal to n+sod(n) for n = 127117094 and 127117103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127117127) 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, 45181 + ... + 47911.

It is an arithmetic number, because the mean of its divisors is an integer number (8648829).

Almost surely, 2^127117126 is an apocalyptic number.

127117126 is a deficient number, since it is larger than the sum of its proper divisors (80454770).

127117126 is a wasteful number, since it uses less digits than its factorization.

127117126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2787 counting only the distinct ones).

The product of its digits is 1176, while the sum is 28.

The square root of 127117126 is about 11274.6230979133. The cubic root of 127117126 is about 502.8070461595.

Adding to 127117126 its reverse (621711721), we get a palindrome (748828847).

The spelling of 127117126 in words is "one hundred twenty-seven million, one hundred seventeen thousand, one hundred twenty-six".