12281085800 has 48 divisors (see below), whose sum is σ = 29092295340. Its totient is φ = 4819742720.

The previous prime is 12281085797. The next prime is 12281085871. The reversal of 12281085800 is 858018221.

12281085800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9349729636 + 2931356164 = 96694^2 + 54142^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568697 + ... + 589896.

Almost surely, 2^12281085800 is an apocalyptic number.

12281085800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12281085800 is an abundant number, since it is smaller than the sum of its proper divisors (16811209540).

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

12281085800 is a wasteful number, since it uses less digits than its factorization.

12281085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158662 (or 1158653 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The spelling of 12281085800 in words is "twelve billion, two hundred eighty-one million, eighty-five thousand, eight hundred".