127296075312 has 320 divisors, whose sum is σ = 427472640000. Its totient is φ = 36253840896.

The previous prime is 127296075307. The next prime is 127296075367. The reversal of 127296075312 is 213570692721.

It is a happy number.

127296075312 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 9 + 607 + 5 + 31 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53193988 + ... + 53196380.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852000).

Almost surely, 2^127296075312 is an apocalyptic number.

127296075312 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 127296075312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320000).

127296075312 is an abundant number, since it is smaller than the sum of its proper divisors (300176564688).

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

127296075312 is a wasteful number, since it uses less digits than its factorization.

127296075312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 127296075312 in words is "one hundred twenty-seven billion, two hundred ninety-six million, seventy-five thousand, three hundred twelve".