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12018988129428 = 223272913112554461
BaseRepresentation
bin1010111011100110001110…
…0001001001110010010100
31120120000002221121000120100
42232321203201021302110
53033404341430120203
641321240311334100
72350225505315310
oct256714341116224
946500087530510
1012018988129428
113914251512555
12142143a981330
13692502562227
142d7a17746b40
1515c994e12ea3
hexaee63849c94

12018988129428 has 144 divisors (see below), whose sum is σ = 36193007410560. Its totient is φ = 3290272876800.

The previous prime is 12018988129409. The next prime is 12018988129439. The reversal of 12018988129428 is 82492188981021.

12018988129428 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 8 + 9 + 88 + 129 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5319883 + ... + 7234578.

It is an arithmetic number, because the mean of its divisors is an integer number (251340329240).

Almost surely, 212018988129428 is an apocalyptic number.

12018988129428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12018988129428 is an abundant number, since it is smaller than the sum of its proper divisors (24174019281132).

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

12018988129428 is a wasteful number, since it uses less digits than its factorization.

12018988129428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554638 (or 12554633 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 12018988129428 in words is "twelve trillion, eighteen billion, nine hundred eighty-eight million, one hundred twenty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 131 174 203 252 261 262 348 393 406 522 524 609 786 812 917 1044 1179 1218 1572 1827 1834 2358 2436 2751 3654 3668 3799 4716 5502 7308 7598 8253 11004 11397 15196 16506 22794 26593 33012 34191 45588 53186 68382 79779 106372 136764 159558 239337 319116 478674 957348 12554461 25108922 37663383 50217844 75326766 87881227 112990149 150653532 175762454 225980298 263643681 351524908 364079369 451960596 527287362 728158738 790931043 1054574724 1092238107 1456317476 1581862086 1644634391 2184476214 2548555583 3163724172 3276714321 3289268782 4368952428 4933903173 5097111166 6553428642 6578537564 7645666749 9867806346 10194222332 11512440737 13106857284 14801709519 15291333498 19735612692 22937000247 23024881474 29603419038 30582666996 34537322211 45874000494 46049762948 47694397339 59206838076 69074644422 91748000988 95388794678 103611966633 138149288844 143083192017 190777589356 207223933266 286166384034 333860781373 414447866532 429249576051 572332768068 667721562746 858499152102 1001582344119 1335443125492 1716998304204 2003164688238 3004747032357 4006329376476 6009494064714 12018988129428