127034041312 has 48 divisors (see below), whose sum is σ = 256677552432. Its totient is φ = 61863592960.

The previous prime is 127034041261. The next prime is 127034041319. The reversal of 127034041312 is 213140430721.

127034041312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127034041312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127034041319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41014 + ... + 505717.

It is an arithmetic number, because the mean of its divisors is an integer number (5347449009).

Almost surely, 2^127034041312 is an apocalyptic number.

It is an amenable number.

127034041312 is an abundant number, since it is smaller than the sum of its proper divisors (129643511120).

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

127034041312 is a wasteful number, since it uses less digits than its factorization.

127034041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546931 (or 546923 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 127034041312 in words is "one hundred twenty-seven billion, thirty-four million, forty-one thousand, three hundred twelve".