12221328930720 has 768 divisors, whose sum is σ = 49414329925632. Its totient is φ = 2469634375680.

The previous prime is 12221328930659. The next prime is 12221328930731. The reversal of 12221328930720 is 2703982312221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131299237 + ... + 131392283.

It is an arithmetic number, because the mean of its divisors is an integer number (64341575424).

Almost surely, 2^{12221328930720} is an apocalyptic number.

12221328930720 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 12221328930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24707164962816).

12221328930720 is an abundant number, since it is smaller than the sum of its proper divisors (37193000994912).

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

12221328930720 is a wasteful number, since it uses less digits than its factorization.

12221328930720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93213 (or 93205 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12221328930720 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-eight million, nine hundred thirty thousand, seven hundred twenty".