127101632932096 has 81 divisors (see below), whose sum is σ = 255474955900731. Its totient is φ = 63110952579072.

The previous prime is 127101632932093. The next prime is 127101632932123. The reversal of 127101632932096 is 690239236101721.

The square root of 127101632932096 is 11273936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 98587741706496 + 28513891225600 = 9929136^2 + 5339840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127101632932091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26877061060 + ... + 26877065788.

Almost surely, 2^{127101632932096} is an apocalyptic number.

127101632932096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127101632932096 is the 11273936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127101632932096

127101632932096 is an abundant number, since it is smaller than the sum of its proper divisors (128373322968635).

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

127101632932096 is an frugal number, since it uses more digits than its factorization.

127101632932096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 127101632932096 in words is "one hundred twenty-seven trillion, one hundred one billion, six hundred thirty-two million, nine hundred thirty-two thousand, ninety-six".