12191375308225 has 27 divisors (see below), whose sum is σ = 15164101015497. Its totient is φ = 9723002525280.

The previous prime is 12191375308219. The next prime is 12191375308291. The reversal of 12191375308225 is 52280357319121.

The square root of 12191375308225 is 3491615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12280407489 + 12179094900736 = 110817^2 + 3489856^2 .

It is not a de Polignac number, because 12191375308225 - 2²⁹ = 12190838437313 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 6930854896 + ... + 6930856654.

Almost surely, 2^{12191375308225} is an apocalyptic number.

12191375308225 is the 3491615-th square number.

12191375308225 is the 1745808-th centered octagonal number.

It is an amenable number.

12191375308225 is a deficient number, since it is larger than the sum of its proper divisors (2972725707272).

12191375308225 is an frugal number, since it uses more digits than its factorization.

12191375308225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 12191375308225 by its sum of digits (49), we get a square (597377390103025 = 24441305²).

The spelling of 12191375308225 in words is "twelve trillion, one hundred ninety-one billion, three hundred seventy-five million, three hundred eight thousand, two hundred twenty-five".