12114200 has 96 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 3901440.

The previous prime is 12114197. The next prime is 12114227. The reversal of 12114200 is 241121.

It is a super-3 number, since 3×12114200³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23546 + ... + 24054.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^12114200 is an apocalyptic number.

12114200 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 12114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

12114200 is an abundant number, since it is smaller than the sum of its proper divisors (22035400).

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

12114200 is a wasteful number, since it uses less digits than its factorization.

12114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

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

The square root of 12114200 is about 3480.5459341891. The cubic root of 12114200 is about 229.6668143557. Note that the first 3 decimals are identical.

Adding to 12114200 its reverse (241121), we get a palindrome (12355321).

The spelling of 12114200 in words is "twelve million, one hundred fourteen thousand, two hundred".