12191061064900 has 81 divisors (see below), whose sum is σ = 26726853829557. Its totient is φ = 4826746368000.

The previous prime is 12191061064879. The next prime is 12191061064901. The reversal of 12191061064900 is 946016019121.

The square root of 12191061064900 is 3491570.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8701756615876 + 3489304449024 = 2949874^2 + 1867968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12191061064901) 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, 3526483972 + ... + 3526487428.

Almost surely, 2^{12191061064900} is an apocalyptic number.

12191061064900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12191061064900 is the 3491570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12191061064900

12191061064900 is an abundant number, since it is smaller than the sum of its proper divisors (14535792764657).

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

12191061064900 is an frugal number, since it uses more digits than its factorization.

12191061064900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 12191061064900 in words is "twelve trillion, one hundred ninety-one billion, sixty-one million, sixty-four thousand, nine hundred".