12193200 has 120 divisors (see below), whose sum is σ = 43437200. Its totient is φ = 3248640.

The previous prime is 12193189. The next prime is 12193201. The reversal of 12193200 is 239121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (12193201) by changing a digit.

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, 10236 + ... + 11364.

Almost surely, 2^12193200 is an apocalyptic number.

12193200 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 12193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718600).

12193200 is an abundant number, since it is smaller than the sum of its proper divisors (31244000).

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

12193200 is a wasteful number, since it uses less digits than its factorization.

12193200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1139 counting only the distinct ones).

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

The square root of 12193200 is about 3491.8762864684. The cubic root of 12193200 is about 230.1649730082.

The spelling of 12193200 in words is "twelve million, one hundred ninety-three thousand, two hundred".