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12233021001222 = 23723122918675519
BaseRepresentation
bin1011001000000011100011…
…0111110000111000000110
31121022110120021012110021010
42302000320313300320012
53100411211334014342
642003434450503050
72401543443600060
oct262007067607006
947273507173233
1012233021001222
113996aa4493a5a
121456a11b94a86
136a9751c2c428
1430411d41a730
1516332031029c
hexb2038df0e06

12233021001222 has 128 divisors (see below), whose sum is σ = 29221569331200. Its totient is φ = 3338071456896.

The previous prime is 12233021001221. The next prime is 12233021001259. The reversal of 12233021001222 is 22210012033221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233021001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2216525779 + ... + 2216531297.

It is an arithmetic number, because the mean of its divisors is an integer number (228293510400).

Almost surely, 212233021001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233021001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610784665600).

12233021001222 is an abundant number, since it is smaller than the sum of its proper divisors (16988548329978).

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

12233021001222 is a wasteful number, since it uses less digits than its factorization.

12233021001222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12233021001222 its reverse (22210012033221), we get a palindrome (34443033034443).

The spelling of 12233021001222 in words is "twelve trillion, two hundred thirty-three billion, twenty-one million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1229 1867 2458 3687 3734 5519 5601 7374 8603 11038 11202 13069 16557 17206 25809 26138 28267 33114 38633 39207 42941 51618 56534 77266 78414 84801 85882 115899 126937 128823 169602 197869 231798 253874 257646 300587 380811 395738 593607 601174 761622 888559 901761 1187214 1777118 1803522 2294543 2665677 4589086 5331354 6782851 6883629 10303973 13565702 13767258 16061801 20348553 20607946 30911919 32123602 40697106 47479957 48185403 52774489 61823838 72127811 94959914 96370806 105548978 142439871 144255622 156005573 158323467 216383433 236991379 284879742 312011146 316646934 369421423 432766866 468016719 473982758 710974137 738842846 936033438 1092039011 1108264269 1421948274 1658939653 2184078022 2216528538 3276117033 3317879306 4976818959 6552234066 9953637918 12663582817 25327165634 37990748451 75981496902 88645079719 177290159438 265935239157 291262404791 531870478314 582524809582 873787214373 1747574428746 2038836833537 4077673667074 6116510500611 12233021001222