1198800000 has 480 divisors, whose sum is σ = 4579745940. Its totient is φ = 311040000.

The previous prime is 1198799969. The next prime is 1198800013. The reversal of 1198800000 is 88911.

It can be written as a sum of positive squares in 6 ways, for example, as 19289664 + 1179510336 = 4392^2 + 34344^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 32399982 + ... + 32400018.

Almost surely, 2^1198800000 is an apocalyptic number.

1198800000 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 1198800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289872970).

1198800000 is an abundant number, since it is smaller than the sum of its proper divisors (3380945940).

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

1198800000 is an frugal number, since it uses more digits than its factorization.

1198800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1198800000 is about 34623.6913110084. The cubic root of 1198800000 is about 1062.3042315207.

Adding to 1198800000 its reverse (88911), we get a palindrome (1198888911).

The spelling of 1198800000 in words is "one billion, one hundred ninety-eight million, eight hundred thousand".