117811200 has 288 divisors, whose sum is σ = 426535200. Its totient is φ = 28508160.

The previous prime is 117811193. The next prime is 117811231. The reversal of 117811200 is 2118711.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996771 + ... + 1996829.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^117811200 is an apocalyptic number.

117811200 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 117811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

117811200 is an abundant number, since it is smaller than the sum of its proper divisors (308724000).

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

117811200 is a wasteful number, since it uses less digits than its factorization.

117811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

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

The square root of 117811200 is about 10854.0867879338. The cubic root of 117811200 is about 490.2250805450.

Adding to 117811200 its reverse (2118711), we get a palindrome (119929911).

The spelling of 117811200 in words is "one hundred seventeen million, eight hundred eleven thousand, two hundred".