12281383296 has 384 divisors, whose sum is σ = 45117945600. Its totient is φ = 3238299648.

The previous prime is 12281383273. The next prime is 12281383297. The reversal of 12281383296 is 69238318221.

12281383296 is a `hidden beast` number, since 1 + 2 + 281 + 3 + 83 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (12281383297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828295 + ... + 2832633.

It is an arithmetic number, because the mean of its divisors is an integer number (117494650).

Almost surely, 2^12281383296 is an apocalyptic number.

12281383296 is a gapful number since it is divisible by the number (16) 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 12281383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558972800).

12281383296 is an abundant number, since it is smaller than the sum of its proper divisors (32836562304).

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

12281383296 is an equidigital number, since it uses as much as digits as its factorization.

12281383296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4364 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 12281383296 in words is "twelve billion, two hundred eighty-one million, three hundred eighty-three thousand, two hundred ninety-six".