127112340960 has 480 divisors, whose sum is σ = 510673185792. Its totient is φ = 29474565120.

The previous prime is 127112340941. The next prime is 127112341043. The reversal of 127112340960 is 69043211721.

127112340960 is a `hidden beast` number, since 1 + 2 + 71 + 123 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3259497 + ... + 3298263.

Almost surely, 2^127112340960 is an apocalyptic number.

127112340960 is a gapful number since it is divisible by the number (10) 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 127112340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255336592896).

127112340960 is an abundant number, since it is smaller than the sum of its proper divisors (383560844832).

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

127112340960 is a wasteful number, since it uses less digits than its factorization.

127112340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38828 (or 38811 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 127112340960 in words is "one hundred twenty-seven billion, one hundred twelve million, three hundred forty thousand, nine hundred sixty".