127112868 has 72 divisors (see below), whose sum is σ = 336688800. Its totient is φ = 41472288.

The previous prime is 127112851. The next prime is 127112891. The reversal of 127112868 is 868211721.

It is a super-2 number, since 2×127112868² = 32315362422370848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303163 + ... + 303581.

Almost surely, 2^127112868 is an apocalyptic number.

127112868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127112868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168344400).

127112868 is an abundant number, since it is smaller than the sum of its proper divisors (209575932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127112868 is a wasteful number, since it uses less digits than its factorization.

127112868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 477 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 127112868 is about 11274.4342651860. The cubic root of 127112868 is about 502.8014319768.

The spelling of 127112868 in words is "one hundred twenty-seven million, one hundred twelve thousand, eight hundred sixty-eight".