114201200 has 60 divisors (see below), whose sum is σ = 278197968. Its totient is φ = 45043200.

The previous prime is 114201193. The next prime is 114201209. The reversal of 114201200 is 2102411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114201209) 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 11 ways as a sum of consecutive naturals, for example, 27245 + ... + 31155.

Almost surely, 2^114201200 is an apocalyptic number.

114201200 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 114201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139098984).

114201200 is an abundant number, since it is smaller than the sum of its proper divisors (163996768).

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

114201200 is a wasteful number, since it uses less digits than its factorization.

114201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 114201200 is about 10686.4961516860. The cubic root of 114201200 is about 485.1658482655.

Adding to 114201200 its reverse (2102411), we get a palindrome (116303611).

The spelling of 114201200 in words is "one hundred fourteen million, two hundred one thousand, two hundred".