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12022401312312 = 2335964321536133
BaseRepresentation
bin1010111011110010111011…
…1101011010011000111000
31120120022220211002200021020
42232330232331122120320
53033433334213443222
641323003115542440
72350406212016646
oct256745675323070
946508824080236
1012022401312312
113915743132356
121422031a5aa20
13692927722581
142d7c5cb86196
1515cae48c165c
hexaef2ef5a638

12022401312312 has 128 divisors (see below), whose sum is σ = 30632175302400. Its totient is φ = 3930949112832.

The previous prime is 12022401312241. The next prime is 12022401312373. The reversal of 12022401312312 is 21321310422021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1960277598 + ... + 1960283730.

It is an arithmetic number, because the mean of its divisors is an integer number (239313869550).

Almost surely, 212022401312312 is an apocalyptic number.

12022401312312 is a gapful number since it is divisible by the number (12) 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 12022401312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316087651200).

12022401312312 is an abundant number, since it is smaller than the sum of its proper divisors (18609773990088).

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

12022401312312 is a wasteful number, since it uses less digits than its factorization.

12022401312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8997 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12022401312312 its reverse (21321310422021), we get a palindrome (33343711734333).

The spelling of 12022401312312 in words is "twelve trillion, twenty-two billion, four hundred one million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 643 708 1286 1416 1929 2153 2572 3858 4306 5144 6133 6459 7716 8612 12266 12918 15432 17224 18399 24532 25836 36798 37937 49064 51672 73596 75874 113811 127027 147192 151748 227622 254054 303496 361847 381081 455244 508108 723694 762162 910488 1016216 1085541 1384379 1447388 1524324 2171082 2768758 2894776 3048648 3943519 4153137 4342164 5537516 7887038 8306274 8684328 11075032 11830557 13204349 15774076 16612548 23661114 26408698 31548152 33225096 39613047 47322228 52817396 79226094 81678361 94644456 105634792 158452188 163356722 232667621 245035083 316904376 326713444 465335242 490070166 653426888 698002863 779056591 930670484 980140332 1396005726 1558113182 1861340968 1960280664 2337169773 2792011452 3116226364 4674339546 5584022904 6232452728 8490396407 9348679092 16980792814 18697358184 25471189221 33961585628 50942378442 67923171256 101884756884 203769513768 500933388013 1001866776026 1502800164039 2003733552052 3005600328078 4007467104104 6011200656156 12022401312312