1171171771200 has 126 divisors (see below), whose sum is σ = 4162621052694. Its totient is φ = 312312468480.

The previous prime is 1171171771117. The next prime is 1171171771201. The reversal of 1171171771200 is 21771711711.

It can be written as a sum of positive squares in 3 ways, for example, as 301981022784 + 869190748416 = 549528^2 + 932304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171171771201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40651287 + ... + 40680086.

Almost surely, 2^{1171171771200} is an apocalyptic number.

1171171771200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1171171771200 is an abundant number, since it is smaller than the sum of its proper divisors (2991449281494).

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

1171171771200 is a wasteful number, since it uses less digits than its factorization.

1171171771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81331401 (or 81331383 counting only the distinct ones).

The product of its (nonzero) digits is 4802, while the sum is 36.

The spelling of 1171171771200 in words is "one trillion, one hundred seventy-one billion, one hundred seventy-one million, seven hundred seventy-one thousand, two hundred".