12196800 has 378 divisors, whose sum is σ = 54456584. Its totient is φ = 2534400.

The previous prime is 12196783. The next prime is 12196813. The reversal of 12196800 is 869121.

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 53 ways as a sum of consecutive naturals, for example, 1108795 + ... + 1108805.

Almost surely, 2^12196800 is an apocalyptic number.

12196800 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 12196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27228292).

12196800 is an abundant number, since it is smaller than the sum of its proper divisors (42259784).

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

12196800 is a wasteful number, since it uses less digits than its factorization.

12196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12196800 is about 3492.3917306053. The cubic root of 12196800 is about 230.1876225826.

It can be divided in two parts, 12196 and 800, that added together give a square (12996 = 114²).

The spelling of 12196800 in words is "twelve million, one hundred ninety-six thousand, eight hundred".