127095938112 has 224 divisors, whose sum is σ = 403473659904. Its totient is φ = 34794547200.

The previous prime is 127095938111. The next prime is 127095938117. The reversal of 127095938112 is 211839590721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (127095938111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241187 + ... + 1339677.

It is an arithmetic number, because the mean of its divisors is an integer number (1801221696).

Almost surely, 2^127095938112 is an apocalyptic number.

127095938112 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 127095938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201736829952).

127095938112 is an abundant number, since it is smaller than the sum of its proper divisors (276377721792).

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

127095938112 is a wasteful number, since it uses less digits than its factorization.

127095938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98577 (or 98567 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 127095938112 in words is "one hundred twenty-seven billion, ninety-five million, nine hundred thirty-eight thousand, one hundred twelve".