12108479116176 has 225 divisors, whose sum is σ = 35321336958369. Its totient is φ = 4004633405952.

The previous prime is 12108479116079. The next prime is 12108479116177. The reversal of 12108479116176 is 67161197480121.

The square root of 12108479116176 is 3479724.

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

12108479116176 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 8 + 4 + 7 + 9 + 11 + 617 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7445367104400 + 4663112011776 = 2728620^2 + 2159424^2 .

It is a super-2 number, since 2×12108479116176² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12108479116177) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 20419020136 + ... + 20419020728.

Almost surely, 2^{12108479116176} is an apocalyptic number.

12108479116176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12108479116176 is the 3479724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12108479116176

12108479116176 is an abundant number, since it is smaller than the sum of its proper divisors (23212857842193).

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

12108479116176 is an frugal number, since it uses more digits than its factorization.

12108479116176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 12108479116176 in words is "twelve trillion, one hundred eight billion, four hundred seventy-nine million, one hundred sixteen thousand, one hundred seventy-six".