12700128748176 has 135 divisors (see below), whose sum is σ = 35831916916003. Its totient is φ = 4199207263680.

The previous prime is 12700128748171. The next prime is 12700128748217. The reversal of 12700128748176 is 67184782100721.

It is a happy number.

The square root of 12700128748176 is 3563724.

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

12700128748176 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 0 + 12 + 87 + 481 + 76 = 666.

It is a super-2 number, since 2×12700128748176² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12700128748171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5602172995 + ... + 5602175261.

Almost surely, 2^{12700128748176} is an apocalyptic number.

12700128748176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12700128748176 is the 3563724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12700128748176

12700128748176 is an abundant number, since it is smaller than the sum of its proper divisors (23131788167827).

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

12700128748176 is an frugal number, since it uses more digits than its factorization.

12700128748176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 12700128748176 in words is "twelve trillion, seven hundred billion, one hundred twenty-eight million, seven hundred forty-eight thousand, one hundred seventy-six".