12281133816 has 240 divisors, whose sum is σ = 42122737800. Its totient is φ = 3324053376.

The previous prime is 12281133811. The next prime is 12281133847. The reversal of 12281133816 is 61833118221.

12281133816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281133811) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 593110 + ... + 613466.

Almost surely, 2^12281133816 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 12281133816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061368900).

12281133816 is an abundant number, since it is smaller than the sum of its proper divisors (29841603984).

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

12281133816 is a wasteful number, since it uses less digits than its factorization.

12281133816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20408 (or 20388 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 12281133816 in words is "twelve billion, two hundred eighty-one million, one hundred thirty-three thousand, eight hundred sixteen".