127076112 has 60 divisors (see below), whose sum is σ = 357762444. Its totient is φ = 42105600.

The previous prime is 127076087. The next prime is 127076119. The reversal of 127076112 is 211670721.

It can be written as a sum of positive squares in 2 ways, for example, as 45643536 + 81432576 = 6756^2 + 9024^2 .

It is a super-2 number, since 2×127076112² = 32296676482073088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127076119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22362 + ... + 27462.

Almost surely, 2^127076112 is an apocalyptic number.

127076112 is a gapful number since it is divisible by the number (12) 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 127076112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178881222).

127076112 is an abundant number, since it is smaller than the sum of its proper divisors (230686332).

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

127076112 is a wasteful number, since it uses less digits than its factorization.

127076112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 127076112 is about 11272.8040877148. The cubic root of 127076112 is about 502.7529638940.

The spelling of 127076112 in words is "one hundred twenty-seven million, seventy-six thousand, one hundred twelve".