12107170775296 has 81 divisors (see below), whose sum is σ = 25032468587581. Its totient is φ = 5844061647872.

The previous prime is 12107170775261. The next prime is 12107170775369. The reversal of 12107170775296 is 69257707170121.

The square root of 12107170775296 is 3479536.

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

It can be written as a sum of positive squares in only one way, i.e., 6348706672896 + 5758464102400 = 2519664^2 + 2399680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1614500955 + ... + 1614508453.

Almost surely, 2^{12107170775296} is an apocalyptic number.

12107170775296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12107170775296 is the 3479536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12107170775296

12107170775296 is an abundant number, since it is smaller than the sum of its proper divisors (12925297812285).

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

12107170775296 is an frugal number, since it uses more digits than its factorization.

12107170775296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15072 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 55.

The spelling of 12107170775296 in words is "twelve trillion, one hundred seven billion, one hundred seventy million, seven hundred seventy-five thousand, two hundred ninety-six".