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12011212221232 = 2478930735311119
BaseRepresentation
bin1010111011001001010000…
…0010011010101100110000
31120112021001000211221211111
42232302110002122230300
53033242430312034412
641313512534523104
72346532015223110
oct256622402325460
946467030757744
1012011212221232
113910a21192644
12141ba2a806494
13691863590113
142d74bab33040
1515c68c4302a7
hexaec9409ab30

12011212221232 has 160 divisors (see below), whose sum is σ = 27061567948800. Its totient is φ = 5058417475584.

The previous prime is 12011212221191. The next prime is 12011212221293. The reversal of 12011212221232 is 23212221211021.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1080236569 + ... + 1080247687.

It is an arithmetic number, because the mean of its divisors is an integer number (169134799680).

Almost surely, 212011212221232 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 12011212221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530783974400).

12011212221232 is an abundant number, since it is smaller than the sum of its proper divisors (15050355727568).

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

12011212221232 is a wasteful number, since it uses less digits than its factorization.

12011212221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12011212221232 its reverse (23212221211021), we get a palindrome (35223433432253).

The spelling of 12011212221232 in words is "twelve trillion, eleven billion, two hundred twelve million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 307 353 356 614 623 706 712 1228 1246 1412 1424 2149 2456 2471 2492 2824 4298 4912 4942 4984 5648 8596 9884 9968 11119 17192 19768 22238 27323 31417 34384 39536 44476 54646 62834 77833 88952 108371 109292 125668 155666 177904 191261 216742 218584 219919 251336 311332 382522 433484 437168 439838 502672 622664 758597 765044 866968 879676 989591 1245328 1517194 1530088 1733936 1759352 1979182 3034388 3060176 3413533 3518704 3925007 3958364 6068776 6827066 6927137 7850014 7916728 9645019 12137552 13654132 13854274 15700028 15833456 19290038 23894731 27308264 27475049 27708548 31400056 38580076 47789462 54616528 54950098 55417096 62800112 67515133 77160152 95578924 109900196 110834192 135030266 154320304 191157848 219800392 270060532 303804437 349325623 382315696 439600784 540121064 607608874 698651246 1080242128 1204977149 1215217748 1397302492 2126631059 2409954298 2430435496 2445279361 2794604984 4253262118 4819908596 4860870992 4890558722 5589209968 8434840043 8506524236 9639817192 9781117444 16869680086 17013048472 19279634384 19562234888 33739360172 34026096944 39124469776 67478720344 107242966261 134957440688 214485932522 428971865044 750700763827 857943730088 1501401527654 1715887460176 3002803055308 6005606110616 12011212221232