11682171132200 has 96 divisors (see below), whose sum is σ = 28050618038400. Its totient is φ = 4522058365440.

The previous prime is 11682171132089. The next prime is 11682171132209. The reversal of 11682171132200 is 223117128611.

It is not an unprimeable number, because it can be changed into a prime (11682171132209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6145334 + ... + 7818533.

It is an arithmetic number, because the mean of its divisors is an integer number (292193937900).

Almost surely, 2^{11682171132200} is an apocalyptic number.

11682171132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682171132200 is an abundant number, since it is smaller than the sum of its proper divisors (16368446906200).

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

11682171132200 is a wasteful number, since it uses less digits than its factorization.

11682171132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964019 (or 13964010 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 11682171132200 in words is "eleven trillion, six hundred eighty-two billion, one hundred seventy-one million, one hundred thirty-two thousand, two hundred".