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12212012220111 = 33111929130357271
BaseRepresentation
bin1011000110110101010010…
…1001100111111011001111
31121020110100010110210111000
42301231110221213323033
53100040200112020421
641550042043431343
72400201022110264
oct261552451477317
947213303423430
1012212012220111
1139890a3593840
12145292a225553
136a77845617c2
143030c917d26b
151629e0c2b226
hexb1b54a67ecf

12212012220111 has 128 divisors (see below), whose sum is σ = 21508614144000. Its totient is φ = 6764585788800.

The previous prime is 12212012220061. The next prime is 12212012220241. The reversal of 12212012220111 is 11102221021221.

It is not a de Polignac number, because 12212012220111 - 218 = 12212011957967 is a prime.

It is a super-2 number, since 2×122120122201112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212012227111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213203406 + ... + 213260676.

It is an arithmetic number, because the mean of its divisors is an integer number (168036048000).

Almost surely, 212212012220111 is an apocalyptic number.

12212012220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12212012220111 is a deficient number, since it is larger than the sum of its proper divisors (9296601923889).

12212012220111 is a wasteful number, since it uses less digits than its factorization.

12212012220111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58642 (or 58636 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212012220111 its reverse (11102221021221), we get a palindrome (23314233241332).

The spelling of 12212012220111 in words is "twelve trillion, two hundred twelve billion, twelve million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 3 9 11 19 27 29 33 57 87 99 171 209 261 297 319 513 551 627 783 957 1303 1653 1881 2871 3909 4959 5643 6061 8613 11727 14333 14877 18183 24757 35181 37787 42999 54549 57271 74271 113361 128997 163647 171813 222813 272327 340083 386991 415657 515439 629981 668439 717953 816981 1020249 1088149 1246971 1546317 1660859 1889943 2153859 2450943 3264447 3740913 4982577 5669829 6461577 7352829 7897483 9793341 11222739 11969639 14947731 17009487 18269449 19384731 23692449 29380023 31556321 35908917 44843193 54808347 71077347 74624113 94668963 107726751 164425041 213232041 223872339 284006889 323180253 347119531 493275123 671617017 820865243 852020667 1041358593 1417858147 2014851051 2164099277 2462595729 3124075779 4253574441 6492297831 7387787187 9372227337 12760723323 15596439617 19476893493 22163361561 23805092047 38282169969 41117886263 46789318851 58430680479 71415276141 123353658789 140367956553 214245828423 370060976367 421103869659 452296748893 642737485269 1110182929101 1356890246679 4070670740037 12212012220111