1200499200 has 360 divisors, whose sum is σ = 4556396988. Its totient is φ = 300810240.

The previous prime is 1200499199. The next prime is 1200499213. The reversal of 1200499200 is 29940021.

It can be written as a sum of positive squares in 6 ways, for example, as 205979904 + 994519296 = 14352^2 + 31536^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1958094 + ... + 1958706.

Almost surely, 2^1200499200 is an apocalyptic number.

1200499200 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 1200499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278198494).

1200499200 is an abundant number, since it is smaller than the sum of its proper divisors (3355897788).

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

1200499200 is a wasteful number, since it uses less digits than its factorization.

1200499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1200499200 is about 34648.2207335384. The cubic root of 1200499200 is about 1062.8059040757.

The spelling of 1200499200 in words is "one billion, two hundred million, four hundred ninety-nine thousand, two hundred".