127481399712 has 288 divisors, whose sum is σ = 381939981696. Its totient is φ = 40294195200.

The previous prime is 127481399701. The next prime is 127481399741. The reversal of 127481399712 is 217993184721.

127481399712 is a `hidden beast` number, since 1 + 2 + 7 + 481 + 3 + 99 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61199823 + ... + 61201905.

It is an arithmetic number, because the mean of its divisors is an integer number (1326180492).

Almost surely, 2^127481399712 is an apocalyptic number.

127481399712 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 127481399712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190969990848).

127481399712 is an abundant number, since it is smaller than the sum of its proper divisors (254458581984).

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

127481399712 is a wasteful number, since it uses less digits than its factorization.

127481399712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2273 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 127481399712 in words is "one hundred twenty-seven billion, four hundred eighty-one million, three hundred ninety-nine thousand, seven hundred twelve".