127236308112256 has 128 divisors (see below), whose sum is σ = 291302659215360. Its totient is φ = 54226439608320.

The previous prime is 127236308112167. The next prime is 127236308112259. The reversal of 127236308112256 is 652211803632721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127236308112259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524752906 + ... + 524995318.

It is an arithmetic number, because the mean of its divisors is an integer number (2275802025120).

Almost surely, 2^{127236308112256} is an apocalyptic number.

127236308112256 is a gapful number since it is divisible by the number (16) 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 127236308112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145651329607680).

127236308112256 is an abundant number, since it is smaller than the sum of its proper divisors (164066351103104).

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

127236308112256 is a wasteful number, since it uses less digits than its factorization.

127236308112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245692 (or 245680 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 127236308112256 in words is "one hundred twenty-seven trillion, two hundred thirty-six billion, three hundred eight million, one hundred twelve thousand, two hundred fifty-six".