127186112144 has 80 divisors (see below), whose sum is σ = 308430675840. Its totient is φ = 49462548480.

The previous prime is 127186112129. The next prime is 127186112189. The reversal of 127186112144 is 441211681721.

It is a super-2 number, since 2×127186112144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127186112098 and 127186112107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654377 + ... + 826184.

It is an arithmetic number, because the mean of its divisors is an integer number (3855383448).

Almost surely, 2^127186112144 is an apocalyptic number.

127186112144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

127186112144 is an abundant number, since it is smaller than the sum of its proper divisors (181244563696).

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

127186112144 is a wasteful number, since it uses less digits than its factorization.

127186112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480648 (or 1480642 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

Adding to 127186112144 its reverse (441211681721), we get a palindrome (568397793865).

The spelling of 127186112144 in words is "one hundred twenty-seven billion, one hundred eighty-six million, one hundred twelve thousand, one hundred forty-four".