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12221133132320 = 2557191135082313
BaseRepresentation
bin1011000111010111010001…
…0011001001001000100000
31121021022212210002010212022
42301311310103021020200
53100212340040213240
641554151104321012
72400643033432130
oct261656423111040
947238783063768
1012221133132320
113991a5405a112
121454654913168
136a85a9097c88
1430371266aac0
15162d7683d9b5
hexb1d744c9220

12221133132320 has 192 divisors, whose sum is σ = 35041131982080. Its totient is φ = 3934441340928.

The previous prime is 12221133132319. The next prime is 12221133132331. The reversal of 12221133132320 is 2323133112221.

It is a self number, because there is not a number n which added to its sum of digits gives 12221133132320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136517 + ... + 4945796.

It is an arithmetic number, because the mean of its divisors is an integer number (182505895740).

Almost surely, 212221133132320 is an apocalyptic number.

12221133132320 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 12221133132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520565991040).

12221133132320 is an abundant number, since it is smaller than the sum of its proper divisors (22819998849760).

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

12221133132320 is a wasteful number, since it uses less digits than its factorization.

12221133132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082467 (or 5082459 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12221133132320 its reverse (2323133112221), we get a palindrome (14544266244541).

The spelling of 12221133132320 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".