118117200 has 120 divisors (see below), whose sum is σ = 380832768. Its totient is φ = 31293440.

The previous prime is 118117159. The next prime is 118117211. The reversal of 118117200 is 2711811.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308209 + ... + 308591.

Almost surely, 2^118117200 is an apocalyptic number.

118117200 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 118117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190416384).

118117200 is an abundant number, since it is smaller than the sum of its proper divisors (262715568).

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

118117200 is a wasteful number, since it uses less digits than its factorization.

118117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 118117200 is about 10868.1737196274. The cubic root of 118117200 is about 490.6491465796.

It can be divided in two parts, 1181 and 17200, that added together give a palindrome (18381).

The spelling of 118117200 in words is "one hundred eighteen million, one hundred seventeen thousand, two hundred".