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12333122001330 = 23513233647937691
BaseRepresentation
bin1011001101111000011101…
…0110110001100110110010
31121200000221110220010121120
42303132013112301212302
53104031213213020310
642121431422403110
72412016155214404
oct263360726614662
947600843803546
1012333122001330
113a254a1933a19
1214722a9730496
136b6015642940
14308cd7a4cb74
15165c2d34ab70
hexb37875b19b2

12333122001330 has 128 divisors (see below), whose sum is σ = 33264100638720. Its totient is φ = 2903695491840.

The previous prime is 12333122001287. The next prime is 12333122001337. The reversal of 12333122001330 is 3310022133321.

It is a self number, because there is not a number n which added to its sum of digits gives 12333122001330.

It is not an unprimeable number, because it can be changed into a prime (12333122001337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327197785 + ... + 327235475.

It is an arithmetic number, because the mean of its divisors is an integer number (259875786240).

Almost surely, 212333122001330 is an apocalyptic number.

12333122001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12333122001330 is an abundant number, since it is smaller than the sum of its proper divisors (20930978637390).

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

12333122001330 is a wasteful number, since it uses less digits than its factorization.

12333122001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74216.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12333122001330 its reverse (3310022133321), we get a palindrome (15643144134651).

The spelling of 12333122001330 in words is "twelve trillion, three hundred thirty-three billion, one hundred twenty-two million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 8970 36479 37691 72958 75382 109437 113073 182395 188455 218874 226146 364790 376910 474227 489983 547185 565365 839017 866893 948454 979966 1094370 1130730 1422681 1469949 1678034 1733786 2371135 2449915 2517051 2600679 2845362 2939898 4195085 4334465 4742270 4899830 5034102 5201358 7113405 7349745 8390170 8668930 10907221 11269609 12585255 13003395 14226810 14699490 21814442 22539218 25170510 26006790 32721663 33808827 54536105 56348045 65443326 67617654 109072210 112696090 163608315 169044135 327216630 338088270 1374929989 2749859978 4124789967 6874649945 8249579934 13749299890 17874089857 20623949835 31623389747 35748179714 41247899670 53622269571 63246779494 89370449285 94870169241 107244539142 158116948735 178740898570 189740338482 268111347855 316233897470 411104066711 474350846205 536222695710 822208133422 948701692410 1233312200133 2055520333555 2466624400266 4111040667110 6166561000665 12333122001330