114200112 has 80 divisors (see below), whose sum is σ = 319667040. Its totient is φ = 34922496.

The previous prime is 114200081. The next prime is 114200147. The reversal of 114200112 is 211002411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122464 + ... + 123392.

It is an arithmetic number, because the mean of its divisors is an integer number (3995838).

Almost surely, 2^114200112 is an apocalyptic number.

114200112 is a gapful number since it is divisible by the number (12) 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 114200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833520).

114200112 is an abundant number, since it is smaller than the sum of its proper divisors (205466928).

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

114200112 is a wasteful number, since it uses less digits than its factorization.

114200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114200112 is about 10686.4452461986. The cubic root of 114200112 is about 485.1643075282.

Adding to 114200112 its reverse (211002411), we get a palindrome (325202523).

The spelling of 114200112 in words is "one hundred fourteen million, two hundred thousand, one hundred twelve".