12280579200 has 216 divisors, whose sum is σ = 43887129195. Its totient is φ = 3269806080.

The previous prime is 12280579183. The next prime is 12280579261. The reversal of 12280579200 is 297508221.

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.

12280579200 is a `hidden beast` number, since 1 + 2 + 2 + 80 + 579 + 2 + 0 + 0 = 666.

12280579200 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 5 ways, for example, as 1536012864 + 10744566336 = 39192^2 + 103656^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78360.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 18806074 + ... + 18806726.

Almost surely, 2^12280579200 is an apocalyptic number.

12280579200 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 12280579200

12280579200 is an abundant number, since it is smaller than the sum of its proper divisors (31606549995).

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

12280579200 is an frugal number, since it uses more digits than its factorization.

12280579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12280579200 in words is "twelve billion, two hundred eighty million, five hundred seventy-nine thousand, two hundred".