12221233514304 has 112 divisors (see below), whose sum is σ = 32673760204800. Its totient is φ = 4031274756096.

The previous prime is 12221233514293. The next prime is 12221233514327. The reversal of 12221233514304 is 40341533212221.

It is a happy number.

It is a super-2 number, since 2×12221233514304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8841162 + ... + 10129590.

Almost surely, 2^{12221233514304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221233514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336880102400).

12221233514304 is an abundant number, since it is smaller than the sum of its proper divisors (20452526690496).

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

12221233514304 is a wasteful number, since it uses less digits than its factorization.

12221233514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288960 (or 1288950 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 12221233514304 its reverse (40341533212221), we get a palindrome (52562766726525).

The spelling of 12221233514304 in words is "twelve trillion, two hundred twenty-one billion, two hundred thirty-three million, five hundred fourteen thousand, three hundred four".