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12320100212112 = 2433711370373383
BaseRepresentation
bin1011001101000111111100…
…1100100101110110010000
31121121210022222002200222000
42303101333030211312100
53103323031123241422
642111435332314000
72411045365636350
oct263217714456620
947553288080860
1012320100212112
113a1aa1a426a50
12146b874772900
136b4a1b8b2314
14308420450b60
1516571a042cac
hexb347f325d90

12320100212112 has 160 divisors (see below), whose sum is σ = 44089247631360. Its totient is φ = 3200026020480.

The previous prime is 12320100212081. The next prime is 12320100212137. The reversal of 12320100212112 is 21121200102321.

12320100212112 is a `hidden beast` number, since 12 + 320 + 10 + 0 + 212 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185153428 + ... + 185219955.

It is an arithmetic number, because the mean of its divisors is an integer number (275557797696).

Almost surely, 212320100212112 is an apocalyptic number.

12320100212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12320100212112 is an abundant number, since it is smaller than the sum of its proper divisors (31769147419248).

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

12320100212112 is a wasteful number, since it uses less digits than its factorization.

12320100212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370373418 (or 370373406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12320100212112 its reverse (21121200102321), we get a palindrome (33441300314433).

The spelling of 12320100212112 in words is "twelve trillion, three hundred twenty billion, one hundred million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 370373383 740746766 1111120149 1481493532 2222240298 2592613681 2962987064 3333360447 4074107213 4444480596 5185227362 5925974128 6666720894 7777841043 8148214426 8888961192 10000081341 10370454724 12222321639 13333441788 15555682086 16296428852 17777922384 20000162682 20740909448 23333523129 24444643278 26666883576 28518750491 31111364172 32592857704 36666964917 40000325364 41481818896 46667046258 48889286556 53333767152 57037500982 62222728344 65185715408 70000569387 73333929834 80000650728 85556251473 93334092516 97778573112 110000894751 114075001964 124445456688 140001138774 146667859668 160001301456 171112502946 186668185032 195557146224 220001789502 228150003928 256668754419 280002277548 293335719336 342225005892 373336370064 440003579004 456300007856 513337508838 560004555096 586671438672 684450011784 770006263257 880007158008 1026675017676 1120009110192 1368900023568 1540012526514 1760014316016 2053350035352 3080025053028 4106700070704 6160050106056 12320100212112