127272257312 has 72 divisors (see below), whose sum is σ = 260632044036. Its totient is φ = 61175066624.

The previous prime is 127272257311. The next prime is 127272257317. The reversal of 127272257312 is 213752272721.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45336629776 + 81935627536 = 212924^2 + 286244^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 127272257312.

It is not an unprimeable number, because it can be changed into a prime (127272257311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6260348 + ... + 6280644.

Almost surely, 2^127272257312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127272257312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130316022018).

127272257312 is an abundant number, since it is smaller than the sum of its proper divisors (133359786724).

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

127272257312 is a wasteful number, since it uses less digits than its factorization.

127272257312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20598 (or 20561 counting only the distinct ones).

The product of its digits is 164640, while the sum is 41.

The spelling of 127272257312 in words is "one hundred twenty-seven billion, two hundred seventy-two million, two hundred fifty-seven thousand, three hundred twelve".