1199328000 has 432 divisors, whose sum is σ = 4432847328. Its totient is φ = 285696000.

The previous prime is 1199327977. The next prime is 1199328041. The reversal of 1199328000 is 8239911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38687985 + ... + 38688015.

Almost surely, 2^1199328000 is an apocalyptic number.

1199328000 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 1199328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216423664).

1199328000 is an abundant number, since it is smaller than the sum of its proper divisors (3233519328).

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

1199328000 is an equidigital number, since it uses as much as digits as its factorization.

1199328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1199328000 is about 34631.3153085470. The cubic root of 1199328000 is about 1062.4601692104.

It can be divided in two parts, 11993 and 28000, that added together give a palindrome (39993).

The spelling of 1199328000 in words is "one billion, one hundred ninety-nine million, three hundred twenty-eight thousand".