127131009120 has 576 divisors, whose sum is σ = 456299101440. Its totient is φ = 32204390400.

The previous prime is 127131009119. The next prime is 127131009127. The reversal of 127131009120 is 21900131721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127131009127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452423380 + ... + 452423660.

It is an arithmetic number, because the mean of its divisors is an integer number (792185940).

Almost surely, 2^127131009120 is an apocalyptic number.

127131009120 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 127131009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228149550720).

127131009120 is an abundant number, since it is smaller than the sum of its proper divisors (329168092320).

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

127131009120 is a wasteful number, since it uses less digits than its factorization.

127131009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 127131009120 in words is "one hundred twenty-seven billion, one hundred thirty-one million, nine thousand, one hundred twenty".