12224265984000 has 2880 divisors, whose sum is σ = 54245952240480. Its totient is φ = 2729322086400.

The previous prime is 12224265983981. The next prime is 12224265984001. The reversal of 12224265984000 is 48956242221.

12224265984000 is a `hidden beast` number, since 12 + 2 + 2 + 4 + 2 + 6 + 598 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224265984001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53851391887 + ... + 53851392113.

Almost surely, 2^{12224265984000} is an apocalyptic number.

12224265984000 is a gapful number since it is divisible by the number (10) 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 12224265984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27122976120240).

12224265984000 is an abundant number, since it is smaller than the sum of its proper divisors (42021686256480).

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

12224265984000 is an equidigital number, since it uses as much as digits as its factorization.

12224265984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12224265984000 in words is "twelve trillion, two hundred twenty-four billion, two hundred sixty-five million, nine hundred eighty-four thousand".