12221120013312 has 176 divisors, whose sum is σ = 37319994018432. Its totient is φ = 3483038515200.

The previous prime is 12221120013259. The next prime is 12221120013329. The reversal of 12221120013312 is 21331002112221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7914478 + ... + 9331730.

Almost surely, 2^{12221120013312} is an apocalyptic number.

12221120013312 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 12221120013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659997009216).

12221120013312 is an abundant number, since it is smaller than the sum of its proper divisors (25098874005120).

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

12221120013312 is a wasteful number, since it uses less digits than its factorization.

12221120013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417684 (or 1417666 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12221120013312 its reverse (21331002112221), we get a palindrome (33552122125533).

The spelling of 12221120013312 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty million, thirteen thousand, three hundred twelve".