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12116316433060 = 2257253390759707
BaseRepresentation
bin1011000001010000110010…
…1111001010101010100100
31120220022022220222010101201
42300110030233022222210
53042003204001324220
641434054154532244
72360242421252500
oct260241457125244
946808286863351
1012116316433060
113951556833624
121438281a37084
1369b7436b8038
142dc60ba21300
1516028e808d0a
hexb050cbcaaa4

12116316433060 has 144 divisors (see below), whose sum is σ = 30165114982464. Its totient is φ = 4074673704192.

The previous prime is 12116316433033. The next prime is 12116316433061. The reversal of 12116316433060 is 6033461361121.

It is not an unprimeable number, because it can be changed into a prime (12116316433061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202899727 + ... + 202959433.

It is an arithmetic number, because the mean of its divisors is an integer number (209479965156).

Almost surely, 212116316433060 is an apocalyptic number.

12116316433060 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 12116316433060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082557491232).

12116316433060 is an abundant number, since it is smaller than the sum of its proper divisors (18048798549404).

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

12116316433060 is a wasteful number, since it uses less digits than its factorization.

12116316433060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63690 (or 63681 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

Adding to 12116316433060 its reverse (6033461361121), we get a palindrome (18149777794181).

The spelling of 12116316433060 in words is "twelve trillion, one hundred sixteen billion, three hundred sixteen million, four hundred thirty-three thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 3710 3907 5194 7420 7814 10388 12985 15628 19535 25970 27349 39070 51940 54698 59707 78140 109396 119414 136745 191443 207071 238828 273490 298535 382886 414142 417949 546980 597070 765772 828284 835898 957215 1035355 1194140 1449497 1671796 1914430 2070710 2089745 2898994 2925643 3164471 3828860 4141420 4179490 5797988 5851286 6328942 7247485 8358980 10146479 11702572 12657884 14494970 14628215 15822355 20292958 22151297 28989940 29256430 31644710 40585916 44302594 50732395 58512860 63289420 88605188 101464790 110756485 155059079 202929580 221512970 233275249 310118158 443025940 466550498 620236316 775295395 933100996 1166376245 1550590790 1632926743 2332752490 3101181580 3265853486 4665504980 6531706972 8164633715 11430487201 12363588197 16329267430 22860974402 24727176394 32658534860 45721948804 49454352788 57152436005 61817940985 86545117379 114304872010 123635881970 173090234758 228609744020 247271763940 346180469516 432725586895 605815821653 865451173790 1211631643306 1730902347580 2423263286612 3029079108265 6058158216530 12116316433060