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12020322313032 = 23311379365932833
BaseRepresentation
bin1010111011101011001100…
…0010101010001101001000
31120120010112221002120101220
42232322303002222031020
53033420110003004112
641322020531442040
72350303535560365
oct256726302521510
946503487076356
1012020322313032
113914876638430
121421751756320
13692685aa8497
142d7b02a0546c
1515ca2210698c
hexaeeb30aa348

12020322313032 has 128 divisors (see below), whose sum is σ = 32879179584000. Its totient is φ = 3631807549440.

The previous prime is 12020322312847. The next prime is 12020322313063. The reversal of 12020322313032 is 23031322302021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12020322312993 and 12020322313011.

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, 366088488 + ... + 366121320.

It is an arithmetic number, because the mean of its divisors is an integer number (256868590500).

Almost surely, 212020322313032 is an apocalyptic number.

12020322313032 is a gapful number since it is divisible by the number (12) 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 12020322313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439589792000).

12020322313032 is an abundant number, since it is smaller than the sum of its proper divisors (20858857270968).

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

12020322313032 is a wasteful number, since it uses less digits than its factorization.

12020322313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36891 (or 36887 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12020322313032 its reverse (23031322302021), we get a palindrome (35051644615053).

The spelling of 12020322313032 in words is "twelve trillion, twenty billion, three hundred twenty-two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 758 1137 1516 2274 3032 3659 4169 4548 7318 8338 9096 10977 12507 14636 16676 21954 25014 29272 32833 33352 40249 43908 50028 65666 80498 87816 98499 100056 120747 131332 160996 196998 241494 262664 321992 361163 393996 482988 722326 787992 965976 1083489 1386761 1444652 2166978 2773522 2889304 4160283 4333956 5547044 8320566 8667912 11094088 12443707 15254371 16641132 24887414 30508742 33282264 37331121 45763113 49774828 61017484 74662242 91526226 99549656 120135947 122034968 136880777 149324484 183052452 240271894 273761554 298648968 360407841 366104904 410642331 480543788 547523108 720815682 821284662 961087576 1095046216 1321495417 1441631364 1642569324 2642990834 2883262728 3285138648 3964486251 5285981668 7928972502 10571963336 15857945004 31715890008 45531523913 91063047826 136594571739 182126095652 273189143478 364252191304 500846763043 546378286956 1001693526086 1092756573912 1502540289129 2003387052172 3005080578258 4006774104344 6010161156516 12020322313032