Search a number
-
+
12212101201212 = 223211293523320113
BaseRepresentation
bin1011000110110101100111…
…1101000011110100111100
31121020110120022220111121100
42301231121331003310330
53100040340401414322
641550054542533100
72400203152330353
oct261553175036474
947213508814540
1012212101201212
113989139839640
121452953b97190
136a7799b17a43
143030d6d0299a
151629e8955dac
hexb1b59f43d3c

12212101201212 has 144 divisors (see below), whose sum is σ = 33798866276448. Its totient is φ = 3687118479360.

The previous prime is 12212101201207. The next prime is 12212101201259. The reversal of 12212101201212 is 21210210121221.

12212101201212 is a `hidden beast` number, since 1 + 221 + 210 + 1 + 20 + 1 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607164468 + ... + 607184580.

It is an arithmetic number, because the mean of its divisors is an integer number (234714349142).

Almost surely, 212212101201212 is an apocalyptic number.

12212101201212 is a gapful number since it is divisible by the number (12) 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 12212101201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899433138224).

12212101201212 is an abundant number, since it is smaller than the sum of its proper divisors (21586765075236).

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

12212101201212 is a wasteful number, since it uses less digits than its factorization.

12212101201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25660 (or 25655 counting only the distinct ones).

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

Adding to 12212101201212 its reverse (21210210121221), we get a palindrome (33422311322433).

The spelling of 12212101201212 in words is "twelve trillion, two hundred twelve billion, one hundred one million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 879 1172 1758 2637 3223 3516 5233 5274 6446 9669 10466 10548 12892 15699 19338 20113 20932 29007 31398 38676 40226 47097 57563 58014 60339 62796 80452 94194 115126 116028 120678 172689 181017 188388 221243 230252 241356 345378 362034 442486 518067 663729 690756 724068 884972 1036134 1327458 1533269 1991187 2072268 2654916 3066538 3982374 4599807 5893109 6133076 7964748 9199614 11786218 13799421 16865959 17679327 18399228 23572436 27598842 33731918 35358654 50597877 53037981 55197684 64824199 67463836 70717308 101195754 105251329 106075962 129648398 151793631 194472597 202391508 210502658 212151924 259296796 303587262 315753987 388945194 421005316 583417791 607174524 631507974 777890388 947261961 1157764619 1166835582 1263015948 1894523922 2315529238 2333671164 3473293857 3789047844 4631058476 6946587714 10419881571 13893175428 20839763142 30838639397 41679526284 61677278794 92515918191 123354557588 185031836382 277547754573 339225033367 370063672764 555095509146 678450066734 1017675100101 1110191018292 1356900133468 2035350200202 3053025300303 4070700400404 6106050600606 12212101201212