1200576000 has 480 divisors, whose sum is σ = 4439099808. Its totient is φ = 287539200.

The previous prime is 1200575977. The next prime is 1200576001. The reversal of 1200576000 is 6750021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200576001) by changing a digit.

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, 32447982 + ... + 32448018.

Almost surely, 2^1200576000 is an apocalyptic number.

1200576000 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 1200576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219549904).

1200576000 is an abundant number, since it is smaller than the sum of its proper divisors (3238523808).

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

1200576000 is an equidigital number, since it uses as much as digits as its factorization.

1200576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1200576000 is about 34649.3289978320. The cubic root of 1200576000 is about 1062.8285673569.

The spelling of 1200576000 in words is "one billion, two hundred million, five hundred seventy-six thousand".