127712601000000 has 441 divisors, whose sum is σ = 457697034117817. Its totient is φ = 34047652800000.

The previous prime is 127712600999959. The next prime is 127712601000079. The reversal of 127712601000000 is 106217721.

The square root of 127712601000000 is 11301000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 111888498885696 + 15824102114304 = 10577736^2 + 3977952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33902998117 + ... + 33903001883.

Almost surely, 2^{127712601000000} is an apocalyptic number.

127712601000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127712601000000 is the 11301000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127712601000000

127712601000000 is an abundant number, since it is smaller than the sum of its proper divisors (329984433117817).

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

127712601000000 is an frugal number, since it uses more digits than its factorization.

127712601000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 127712601000000 its reverse (106217721), we get a palindrome (127712707217721).

The spelling of 127712601000000 in words is "one hundred twenty-seven trillion, seven hundred twelve billion, six hundred one million", and thus it is an aban number.