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12011023233220 = 22511215148767493
BaseRepresentation
bin1010111011001000100011…
…0001011111000011000100
31120112020112212020101000111
42232302020301133003010
53033242033421430340
641313442104122404
72346524231651464
oct256621061370304
946466485211014
1012011023233220
113910934541100
12141b997466404
136918333901ab
142d749d9b9ba4
1515c67aa4daea
hexaec88c5f0c4

12011023233220 has 144 divisors (see below), whose sum is σ = 27965945597184. Its totient is φ = 4329746784000.

The previous prime is 12011023233199. The next prime is 12011023233221. The reversal of 12011023233220 is 2233232011021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12011023233191 and 12011023233200.

It is not an unprimeable number, because it can be changed into a prime (12011023233221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177925794 + ... + 177993286.

It is an arithmetic number, because the mean of its divisors is an integer number (194207955536).

Almost surely, 212011023233220 is an apocalyptic number.

12011023233220 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 12011023233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982972798592).

12011023233220 is an abundant number, since it is smaller than the sum of its proper divisors (15954922363964).

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

12011023233220 is a wasteful number, since it uses less digits than its factorization.

12011023233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68162 (or 68149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12011023233220 its reverse (2233232011021), we get a palindrome (14244255244241).

The spelling of 12011023233220 in words is "twelve trillion, eleven billion, twenty-three million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 151 220 242 302 484 487 604 605 755 974 1210 1510 1661 1948 2420 2435 3020 3322 4870 5357 6644 8305 9740 10714 16610 18271 21428 26785 33220 36542 53570 58927 67493 73084 73537 91355 107140 117854 134986 147074 182710 235708 269972 294148 294635 337465 365420 367685 589270 674930 735370 742423 808907 1178540 1349860 1470740 1484846 1617814 2969692 3235628 3712115 4044535 7424230 8089070 8166653 8897977 10191443 14848460 16178140 16333306 17795954 20382886 32666612 32869091 35591908 40765772 40833265 44489885 50957215 65738182 81666530 88979770 101914430 112105873 131476364 163333060 164345455 177959540 203828860 224211746 328690910 361560001 448423492 560529365 657381820 723120002 1121058730 1233164603 1446240004 1807800005 2242117460 2466329206 3615600010 3977160011 4932658412 4963232741 6165823015 7231200020 7954320022 9926465482 12331646030 15908640044 19852930964 19885800055 24663292060 24816163705 39771600110 49632327410 54595560151 79543200220 99264654820 109191120302 218382240604 272977800755 545955601510 600551161661 1091911203020 1201102323322 2402204646644 3002755808305 6005511616610 12011023233220