12281729088 has 224 divisors, whose sum is σ = 34538716800. Its totient is φ = 3846389760.

The previous prime is 12281729077. The next prime is 12281729093. The reversal of 12281729088 is 88092718221.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 43398195 + ... + 43398477.

It is an arithmetic number, because the mean of its divisors is an integer number (154190700).

Almost surely, 2^12281729088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12281729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269358400).

12281729088 is an abundant number, since it is smaller than the sum of its proper divisors (22256987712).

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

12281729088 is a wasteful number, since it uses less digits than its factorization.

12281729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 12281729088 in words is "twelve billion, two hundred eighty-one million, seven hundred twenty-nine thousand, eighty-eight".