12331200 has 168 divisors, whose sum is σ = 46362112. Its totient is φ = 2810880.

The previous prime is 12331183. The next prime is 12331213. The reversal of 12331200 is 213321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33417 + ... + 33783.

Almost surely, 2^12331200 is an apocalyptic number.

12331200 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 12331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181056).

12331200 is an abundant number, since it is smaller than the sum of its proper divisors (34030912).

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

12331200 is a wasteful number, since it uses less digits than its factorization.

12331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12331200 is about 3511.5808405902. The cubic root of 12331200 is about 231.0300367606.

Adding to 12331200 its reverse (213321), we get a palindrome (12544521).

The spelling of 12331200 in words is "twelve million, three hundred thirty-one thousand, two hundred".