12525111182976 has 128 divisors (see below), whose sum is σ = 38036980262400. Its totient is φ = 3577255308288.

The previous prime is 12525111182957. The next prime is 12525111182981. The reversal of 12525111182976 is 67928111152521.

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

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 15 ways as a sum of consecutive naturals, for example, 6271191 + ... + 8023593.

It is an arithmetic number, because the mean of its divisors is an integer number (297163908300).

Almost surely, 2^{12525111182976} is an apocalyptic number.

12525111182976 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 12525111182976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018490131200).

12525111182976 is an abundant number, since it is smaller than the sum of its proper divisors (25511869079424).

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

12525111182976 is a wasteful number, since it uses less digits than its factorization.

12525111182976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755086 (or 1755074 counting only the distinct ones).

The product of its digits is 604800, while the sum is 51.

The spelling of 12525111182976 in words is "twelve trillion, five hundred twenty-five billion, one hundred eleven million, one hundred eighty-two thousand, nine hundred seventy-six".