12049728800 has 54 divisors (see below), whose sum is σ = 29423981979. Its totient is φ = 4818649600.

The previous prime is 12049728767. The next prime is 12049728829. The reversal of 12049728800 is 882794021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5902541584 + 6147187216 = 76828^2 + 78404^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=77620.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 3102860 + ... + 3106740.

Almost surely, 2^12049728800 is an apocalyptic number.

12049728800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12049728800 is an abundant number, since it is smaller than the sum of its proper divisors (17374253179).

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

12049728800 is an frugal number, since it uses more digits than its factorization.

12049728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 12049728800 in words is "twelve billion, forty-nine million, seven hundred twenty-eight thousand, eight hundred".