117141200 has 120 divisors (see below), whose sum is σ = 311825280. Its totient is φ = 41932800.

The previous prime is 117141197. The next prime is 117141257. The reversal of 117141200 is 2141711.

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 23 ways as a sum of consecutive naturals, for example, 347432 + ... + 347768.

It is an arithmetic number, because the mean of its divisors is an integer number (2598544).

Almost surely, 2^117141200 is an apocalyptic number.

117141200 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 117141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155912640).

117141200 is an abundant number, since it is smaller than the sum of its proper divisors (194684080).

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

117141200 is a wasteful number, since it uses less digits than its factorization.

117141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 117141200 is about 10823.1788306394. The cubic root of 117141200 is about 489.2939992356.

Adding to 117141200 its reverse (2141711), we get a palindrome (119282911).

The spelling of 117141200 in words is "one hundred seventeen million, one hundred forty-one thousand, two hundred".