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12222133021312 = 27731308019373
BaseRepresentation
bin1011000111011010111111…
…1001011010101010000000
31121021102110110112202200221
42301312233321122222000
53100221412023140222
641554434223352424
72401006564361314
oct261665771325200
947242413482627
1012222133021312
113992417507555
121454893752714
136a8708296776
143037a9389b44
15162dd44ec0c7
hexb1dafe5aa80

12222133021312 has 32 divisors (see below), whose sum is σ = 24682325587380. Its totient is φ = 6027353266176.

The previous prime is 12222133021303. The next prime is 12222133021331. The reversal of 12222133021312 is 21312033122221.

It can be written as a sum of positive squares in 2 ways, for example, as 11508540595776 + 713592425536 = 3392424^2 + 844744^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 654000343 + ... + 654019030.

Almost surely, 212222133021312 is an apocalyptic number.

It is an amenable number.

12222133021312 is an abundant number, since it is smaller than the sum of its proper divisors (12460192566068).

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

12222133021312 is an equidigital number, since it uses as much as digits as its factorization.

12222133021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308019460 (or 1308019448 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12222133021312 its reverse (21312033122221), we get a palindrome (33534166143533).

The spelling of 12222133021312 in words is "twelve trillion, two hundred twenty-two billion, one hundred thirty-three million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 1308019373 2616038746 5232077492 10464154984 20928309968 41856619936 83713239872 95485414229 167426479744 190970828458 381941656916 763883313832 1527766627664 3055533255328 6111066510656 12222133021312