12139200 has 168 divisors, whose sum is σ = 44409360. Its totient is φ = 3225600.

The previous prime is 12139189. The next prime is 12139229. The reversal of 12139200 is 293121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 43060 + ... + 43340.

Almost surely, 2^12139200 is an apocalyptic number.

12139200 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 12139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204680).

12139200 is an abundant number, since it is smaller than the sum of its proper divisors (32270160).

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

12139200 is a wasteful number, since it uses less digits than its factorization.

12139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12139200 is about 3484.1354738299. The cubic root of 12139200 is about 229.8246931315.

The spelling of 12139200 in words is "twelve million, one hundred thirty-nine thousand, two hundred".