114111200 has 216 divisors, whose sum is σ = 336634704. Its totient is φ = 37632000.

The previous prime is 114111197. The next prime is 114111209. The reversal of 114111200 is 2111411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1607165 + ... + 1607235.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^114111200 is an apocalyptic number.

114111200 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 114111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168317352).

114111200 is an abundant number, since it is smaller than the sum of its proper divisors (222523504).

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

114111200 is a wasteful number, since it uses less digits than its factorization.

114111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 114111200 is about 10682.2843998838. The cubic root of 114111200 is about 485.0383644857.

Adding to 114111200 its reverse (2111411), we get a palindrome (116222611).

The spelling of 114111200 in words is "one hundred fourteen million, one hundred eleven thousand, two hundred".