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12233305154420 = 225779109293097
BaseRepresentation
bin1011001000000100100111…
…0011101110001101110100
31121022111022001212221011122
42302001021303232031310
53100412302104420140
642003523001123112
72401553464056050
oct262011163561564
947274261787148
1012233305154420
11399712a924509
121456a91189498
136a9798a6c30c
14304149066c60
1516333a23dab5
hexb2049cee374

12233305154420 has 144 divisors (see below), whose sum is σ = 30007168611840. Its totient is φ = 4103147363328.

The previous prime is 12233305154419. The next prime is 12233305154459. The reversal of 12233305154420 is 2445150333221.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131357312 + ... + 131450408.

It is an arithmetic number, because the mean of its divisors is an integer number (208383115360).

Almost surely, 212233305154420 is an apocalyptic number.

12233305154420 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 12233305154420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15003584305920).

12233305154420 is an abundant number, since it is smaller than the sum of its proper divisors (17773863457420).

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

12233305154420 is a wasteful number, since it uses less digits than its factorization.

12233305154420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93410 (or 93299 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 12233305154420 its reverse (2445150333221), we get a palindrome (14678455487641).

The spelling of 12233305154420 in words is "twelve trillion, two hundred thirty-three billion, three hundred five million, one hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 109 140 158 218 316 395 436 545 553 763 790 1090 1106 1526 1580 2180 2212 2765 3052 3815 5530 7630 8611 11060 11881 15260 17222 23762 34444 43055 47524 59405 60277 83167 86110 93097 118810 120554 166334 172220 186194 237620 241108 301385 332668 372388 415835 465485 602770 651679 831670 930970 938599 1205540 1303358 1663340 1861940 1877198 2606716 3258395 3754396 4692995 6516790 6570193 7354663 9385990 10147573 13033580 13140386 14709326 18771980 20295146 26280772 29418652 32850965 36773315 40590292 50737865 51482641 65701930 71033011 73546630 101475730 102965282 131403860 142066022 147093260 202951460 205930564 257413205 284132044 355165055 514826410 710330110 801658267 1029652820 1106085457 1420660220 1603316534 2212170914 3206633068 4008291335 4424341828 5530427285 5611607869 7742598199 8016582670 11060854570 11223215738 15485196398 16033165340 22121709140 22446431476 28058039345 30970392796 38712990995 56116078690 77425981990 87380751103 112232157380 154851963980 174761502206 349523004412 436903755515 611665257721 873807511030 1223330515442 1747615022060 2446661030884 3058326288605 6116652577210 12233305154420