12223384992 has 288 divisors, whose sum is σ = 43391013120. Its totient is φ = 3177861120.

The previous prime is 12223384963. The next prime is 12223385039. The reversal of 12223384992 is 29948332221.

12223384992 is a `hidden beast` number, since 1 + 222 + 338 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12223384992² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857484 + ... + 1864052.

It is an arithmetic number, because the mean of its divisors is an integer number (150663240).

Almost surely, 2^12223384992 is an apocalyptic number.

12223384992 is a gapful number since it is divisible by the number (12) 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 12223384992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695506560).

12223384992 is an abundant number, since it is smaller than the sum of its proper divisors (31167628128).

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

12223384992 is a wasteful number, since it uses less digits than its factorization.

12223384992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6665 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12223384992 in words is "twelve billion, two hundred twenty-three million, three hundred eighty-four thousand, nine hundred ninety-two".