12235200 has 84 divisors (see below), whose sum is σ = 40157400. Its totient is φ = 3261440.

The previous prime is 12235199. The next prime is 12235231. The reversal of 12235200 is 253221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12235200.

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 11 ways as a sum of consecutive naturals, for example, 3526 + ... + 6074.

Almost surely, 2^12235200 is an apocalyptic number.

12235200 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 12235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20078700).

12235200 is an abundant number, since it is smaller than the sum of its proper divisors (27922200).

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

12235200 is a wasteful number, since it uses less digits than its factorization.

12235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12235200 is about 3497.8850752991. The cubic root of 12235200 is about 230.4289411947.

Adding to 12235200 its reverse (253221), we get a palindrome (12488421).

It can be divided in two parts, 12 and 235200, that multiplied together give a square (2822400 = 1680²).

The spelling of 12235200 in words is "twelve million, two hundred thirty-five thousand, two hundred".