12213128083464 has 192 divisors, whose sum is σ = 41244068062080. Its totient is φ = 3171861504000.

The previous prime is 12213128083441. The next prime is 12213128083469. The reversal of 12213128083464 is 46438082131221.

12213128083464 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 31 + 2 + 80 + 83 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (12213128083469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47778234 + ... + 48033174.

It is an arithmetic number, because the mean of its divisors is an integer number (214812854490).

Almost surely, 2^{12213128083464} is an apocalyptic number.

12213128083464 is a gapful number since it is divisible by the number (14) 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 12213128083464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20622034031040).

12213128083464 is an abundant number, since it is smaller than the sum of its proper divisors (29030939978616).

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

12213128083464 is a wasteful number, since it uses less digits than its factorization.

12213128083464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263612 (or 263605 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12213128083464 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-eight million, eighty-three thousand, four hundred sixty-four".