118271118499200 has 2304 divisors, whose sum is σ = 463918764441600. Its totient is φ = 28578176040960.

The previous prime is 118271118499129. The next prime is 118271118499211. The reversal of 118271118499200 is 2994811172811.

It is a happy number.

118271118499200 is a `hidden beast` number, since 1 + 1 + 8 + 271 + 1 + 1 + 84 + 99 + 200 = 666.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 377862998244 + ... + 377862998556.

It is an arithmetic number, because the mean of its divisors is an integer number (201353630400).

Almost surely, 2^{118271118499200} is an apocalyptic number.

118271118499200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118271118499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231959382220800).

118271118499200 is an abundant number, since it is smaller than the sum of its proper divisors (345647645942400).

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

118271118499200 is a wasteful number, since it uses less digits than its factorization.

118271118499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 118271118499200 in words is "one hundred eighteen trillion, two hundred seventy-one billion, one hundred eighteen million, four hundred ninety-nine thousand, two hundred".