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12002120111212 = 22711793541139301
BaseRepresentation
bin1010111010100111011000…
…0110110001010001101100
31120111101120101102220121221
42232221312012301101230
53033120320222024322
641305410423233124
72346060503450530
oct256516606612154
946441511386557
1012002120111212
1139080859a9830
12141a1118a87a4
13690a449cc66a
142d6c973c1bc0
1515c30910b9c7
hexaea761b146c

12002120111212 has 96 divisors (see below), whose sum is σ = 26525597091840. Its totient is φ = 4615621920000.

The previous prime is 12002120111167. The next prime is 12002120111213. The reversal of 12002120111212 is 21211102120021.

12002120111212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12002120111213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86089962 + ... + 86229262.

It is an arithmetic number, because the mean of its divisors is an integer number (276308303040).

Almost surely, 212002120111212 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 12002120111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262798545920).

12002120111212 is an abundant number, since it is smaller than the sum of its proper divisors (14523476980628).

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

12002120111212 is a wasteful number, since it uses less digits than its factorization.

12002120111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142943 (or 142941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12002120111212 its reverse (21211102120021), we get a palindrome (33213222231233).

The spelling of 12002120111212 in words is "twelve trillion, two billion, one hundred twenty million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 308 316 553 869 1106 1738 2212 3476 3541 6083 7082 12166 14164 24332 24787 38951 49574 77902 99148 139301 155804 272657 278602 279739 545314 557204 559478 975107 1090628 1118956 1532311 1950214 1958173 3064622 3077129 3900428 3916346 6129244 6154258 7832692 10726177 11004779 12308516 21452354 21539903 22009558 42904708 43079806 44019116 77033453 86159612 121052569 154066906 242105138 308133812 484210276 493264841 847367983 986529682 1694735966 1973059364 3389471932 3452853887 5425913251 6905707774 10851826502 13811415548 21703653004 37981392757 38967922439 75962785514 77935844878 151925571028 155871689756 272775457073 428647146829 545550914146 857294293658 1091101828292 1714588587316 3000530027803 6001060055606 12002120111212