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12120011011120 = 2455323312268211
BaseRepresentation
bin1011000001011110100011…
…1100110111010000110000
31120220122212101222010201011
42300113220330313100300
53042033240304323440
641435504534320304
72360433112535215
oct260275074672060
946818771863634
1012120011011120
11395308227a821
121438b331b9094
1369bbb1c60abc
142dc87c58db0c
15160408d4d9ea
hexb05e8f37430

12120011011120 has 80 divisors (see below), whose sum is σ = 28833929590752. Its totient is φ = 4736117934080.

The previous prime is 12120011011091. The next prime is 12120011011139. The reversal of 12120011011120 is 2111011002121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12120011011120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146186 + ... + 7122025.

Almost surely, 212120011011120 is an apocalyptic number.

12120011011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120011011120 is an abundant number, since it is smaller than the sum of its proper divisors (16713918579632).

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

12120011011120 is a wasteful number, since it uses less digits than its factorization.

12120011011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268510 (or 12268504 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12120011011120 its reverse (2111011002121), we get a palindrome (14231022013241).

The spelling of 12120011011120 in words is "twelve trillion, one hundred twenty billion, eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 233 265 424 466 530 848 932 1060 1165 1864 2120 2330 3728 4240 4660 9320 12349 18640 24698 49396 61745 98792 123490 197584 246980 493960 987920 12268211 24536422 49072844 61341055 98145688 122682110 196291376 245364220 490728440 650215183 981456880 1300430366 2600860732 2858493163 3251075915 5201721464 5716986326 6502151830 10403442928 11433972652 13004303660 14292465815 22867945304 26008607320 28584931630 45735890608 52017214640 57169863260 114339726520 151500137639 228679453040 303000275278 606000550556 757500688195 1212001101112 1515001376390 2424002202224 3030002752780 6060005505560 12120011011120