114123200 has 42 divisors (see below), whose sum is σ = 280818336. Its totient is φ = 45648640.

The previous prime is 114123179. The next prime is 114123209. The reversal of 114123200 is 2321411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34064 + ... + 37263.

Almost surely, 2^114123200 is an apocalyptic number.

114123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114123200 is an abundant number, since it is smaller than the sum of its proper divisors (166695136).

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

114123200 is an equidigital number, since it uses as much as digits as its factorization.

114123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71349 (or 71334 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114123200 is about 10682.8460627307. The cubic root of 114123200 is about 485.0553661950.

Adding to 114123200 its reverse (2321411), we get a palindrome (116444611).

The spelling of 114123200 in words is "one hundred fourteen million, one hundred twenty-three thousand, two hundred".