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12000422241016 = 231117107149503147
BaseRepresentation
bin1010111010100001000011…
…1001111010001011111000
31120111020012001121011120121
42232220100321322023320
53033103331043203031
641304530132103024
72346000436005616
oct256502071721370
946436161534517
1012000422241016
113907394560820
121419919164a74
1369083401a641
142d6b75ad26b6
1515c25a029011
hexaea10e7a2f8

12000422241016 has 128 divisors (see below), whose sum is σ = 26409232224000. Its totient is φ = 5051746846720.

The previous prime is 12000422240993. The next prime is 12000422241029. The reversal of 12000422241016 is 61014222400021.

12000422241016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 23599155 + ... + 24102301.

It is an arithmetic number, because the mean of its divisors is an integer number (206322126750).

Almost surely, 212000422241016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000422241016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204616112000).

12000422241016 is an abundant number, since it is smaller than the sum of its proper divisors (14408809982984).

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

12000422241016 is a wasteful number, since it uses less digits than its factorization.

12000422241016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503437 (or 503433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 12000422241016 its reverse (61014222400021), we get a palindrome (73014644641037).

The spelling of 12000422241016 in words is "twelve trillion, four hundred twenty-two million, two hundred forty-one thousand, sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 107 136 149 187 214 298 374 428 596 748 856 1177 1192 1496 1639 1819 2354 2533 3278 3638 4708 5066 6556 7276 9416 10132 13112 14552 15943 20009 20264 27863 31886 40018 55726 63772 80036 111452 127544 160072 175373 222904 271031 350746 503147 542062 701492 1006294 1084124 1402984 2012588 2168248 2981341 4025176 5534617 5962682 8553499 11069234 11925364 17106998 22138468 23850728 34213996 44276936 53836729 68427992 74968903 94088489 107673458 149937806 188176978 215346916 299875612 376353956 430693832 592204019 599751224 752707912 824657933 915224393 1184408038 1274471351 1649315866 1830448786 2368816076 2548942702 3298631732 3660897572 4737632152 5097885404 6597263464 7321795144 8021672621 10067468323 10195770808 14019184861 16043345242 20134936646 28038369722 32086690484 40269873292 56076739444 64173380968 80539746584 88238398831 112153478888 136368434557 176476797662 272736869114 352953595324 545473738228 705907190648 1090947476456 1500052780127 3000105560254 6000211120508 12000422241016