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12212012202102 = 2342979101325781
BaseRepresentation
bin1011000110110101010010…
…1001100011100001110110
31121020110100010102212210000
42301231110221203201312
53100040200110431402
641550042043212130
72400201022003626
oct261552451434166
947213303385700
1012212012202102
1139890a3581259
12145292a217046
136a778455654b
143030c9176886
151629e0c25c1c
hexb1b54a63876

12212012202102 has 160 divisors (see below), whose sum is σ = 28949770396800. Its totient is φ = 3842119008000.

The previous prime is 12212012202101. The next prime is 12212012202107. The reversal of 12212012202102 is 20120221021221.

It is a happy number.

12212012202102 is a `hidden beast` number, since 1 + 221 + 201 + 220 + 21 + 0 + 2 = 666.

12212012202102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212012202101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37322452 + ... + 37648232.

It is an arithmetic number, because the mean of its divisors is an integer number (180936064980).

Almost surely, 212212012202102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212012202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474885198400).

12212012202102 is an abundant number, since it is smaller than the sum of its proper divisors (16737758194698).

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

12212012202102 is a wasteful number, since it uses less digits than its factorization.

12212012202102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326004 (or 325995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12212012202102 its reverse (20120221021221), we get a palindrome (32332233223323).

The spelling of 12212012202102 in words is "twelve trillion, two hundred twelve billion, twelve million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 79 81 87 101 158 162 174 202 237 261 303 474 522 606 711 783 909 1422 1566 1818 2133 2291 2349 2727 2929 4266 4582 4698 5454 5858 6399 6873 7979 8181 8787 12798 13746 15958 16362 17574 20619 23937 26361 41238 47874 52722 61857 71811 79083 123714 143622 158166 185571 215433 231391 237249 325781 371142 430866 462782 474498 646299 651562 694173 977343 1292598 1388346 1954686 2082519 2932029 4165038 5864058 6247557 8796087 9447649 12495114 17592174 18742671 18895298 25736699 26388261 28342947 32903881 37485342 51473398 52776522 56685894 65807762 77210097 85028841 98711643 154420194 170057682 197423286 231630291 255086523 296134929 463260582 510173046 592269858 694890873 746364271 765259569 888404787 954212549 1389781746 1492728542 1530519138 1776809574 1908425098 2084672619 2239092813 2599406599 2665214361 2862637647 4169345238 4478185626 5198813198 5330428722 5725275294 6717278439 7798219797 8587912941 13434556878 15596439594 17175825882 20151835317 23394659391 25763738823 40303670634 46789318782 51527477646 60455505951 70183978173 75382791371 77291216469 120911011902 140367956346 150765582742 154582432938 210551934519 226148374113 421103869038 452296748226 678445122339 1356890244678 2035335367017 4070670734034 6106006101051 12212012202102