1191001168900 has 27 divisors (see below), whose sum is σ = 2584496218591. Its totient is φ = 476396102240.

The previous prime is 1191001168853. The next prime is 1191001168949. The reversal of 1191001168900 is 98611001911.

The square root of 1191001168900 is 1091330.

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 15147209476 + 1175853959424 = 123074^2 + 1084368^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1191001168900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10858734 + ... + 10967866.

Almost surely, 2^{1191001168900} is an apocalyptic number.

1191001168900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1191001168900 is the 1091330-th square number.

It is an amenable number.

1191001168900 is an abundant number, since it is smaller than the sum of its proper divisors (1393495049691).

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

1191001168900 is an frugal number, since it uses more digits than its factorization.

1191001168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218280 (or 109140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 37.

The spelling of 1191001168900 in words is "one trillion, one hundred ninety-one billion, one million, one hundred sixty-eight thousand, nine hundred".