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12222133013312 = 262933119894867
BaseRepresentation
bin1011000111011010111111…
…1001011000101101000000
31121021102110110112100201122
42301312233321120231000
53100221412022411222
641554434223251412
72401006564326065
oct261665771305500
947242413470648
1012222133013312
113992417501542
121454893749b68
136a8708292c31
143037a9386c6c
15162dd44e9a42
hexb1dafe58b40

12222133013312 has 56 divisors (see below), whose sum is σ = 25165416430560. Its totient is φ = 5882513978880.

The previous prime is 12222133013269. The next prime is 12222133013317. The reversal of 12222133013312 is 21331033122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222133013317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9333098 + ... + 10561769.

It is an arithmetic number, because the mean of its divisors is an integer number (449382436260).

Almost surely, 212222133013312 is an apocalyptic number.

It is an amenable number.

12222133013312 is an abundant number, since it is smaller than the sum of its proper divisors (12943283417248).

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

12222133013312 is a wasteful number, since it uses less digits than its factorization.

12222133013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19895239 (or 19895229 counting only the distinct ones).

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

Adding to 12222133013312 its reverse (21331033122221), we get a palindrome (33553166135533).

The spelling of 12222133013312 in words is "twelve trillion, two hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 331 464 662 928 1324 1856 2648 5296 9599 10592 19198 21184 38396 76792 153584 307168 614336 19894867 39789734 79579468 159158936 318317872 576951143 636635744 1153902286 1273271488 2307804572 4615609144 6585200977 9231218288 13170401954 18462436576 26340803908 36924873152 52681607816 105363215632 190970828333 210726431264 381941656666 421452862528 763883313332 1527766626664 3055533253328 6111066506656 12222133013312