118121172105300 has 1152 divisors, whose sum is σ = 440795387289600. Its totient is φ = 23751643668480.

The previous prime is 118121172105259. The next prime is 118121172105311. The reversal of 118121172105300 is 3501271121811.

It is a super-2 number, since 2×118121172105300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24820584321 + ... + 24820589079.

It is an arithmetic number, because the mean of its divisors is an integer number (382634884800).

Almost surely, 2^{118121172105300} is an apocalyptic number.

118121172105300 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 118121172105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220397693644800).

118121172105300 is an abundant number, since it is smaller than the sum of its proper divisors (322674215184300).

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

118121172105300 is a wasteful number, since it uses less digits than its factorization.

118121172105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 33.

The spelling of 118121172105300 in words is "one hundred eighteen trillion, one hundred twenty-one billion, one hundred seventy-two million, one hundred five thousand, three hundred".