12221303424000 has 2816 divisors, whose sum is σ = 49662512640000. Its totient is φ = 2634153984000.

The previous prime is 12221303423977. The next prime is 12221303424023. The reversal of 12221303424000 is 42430312221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12221303423977) and next prime (12221303424023).

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 137318015956 + ... + 137318016044.

Almost surely, 2^{12221303424000} is an apocalyptic number.

12221303424000 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 12221303424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24831256320000).

12221303424000 is an abundant number, since it is smaller than the sum of its proper divisors (37441209216000).

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

12221303424000 is a wasteful number, since it uses less digits than its factorization.

12221303424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12221303424000 its reverse (42430312221), we get a palindrome (12263733736221).

The spelling of 12221303424000 in words is "twelve trillion, two hundred twenty-one billion, three hundred three million, four hundred twenty-four thousand".