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12221012012202 = 2337314937211247
BaseRepresentation
bin1011000111010110110100…
…0101000110110010101010
31121021022120100011121022000
42301311231011012302222
53100212113033342302
641554131100311430
72400640033064220
oct261655505066252
947238510147260
1012221012012202
1139919a1752844
121454620242576
136a8589c6b276
1430370053cb10
15162d6adb631c
hexb1d6d146caa

12221012012202 has 128 divisors (see below), whose sum is σ = 32045341409280. Its totient is φ = 3378381229440.

The previous prime is 12221012012191. The next prime is 12221012012213. The reversal of 12221012012202 is 20221021012221.

It is a happy number.

12221012012202 is a `hidden beast` number, since 122 + 210 + 120 + 12 + 202 = 666.

12221012012202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12221012012191) and next prime (12221012012213).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57746143 + ... + 57957389.

It is an arithmetic number, because the mean of its divisors is an integer number (250354229760).

Almost surely, 212221012012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221012012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022670704640).

12221012012202 is an abundant number, since it is smaller than the sum of its proper divisors (19824329397078).

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

12221012012202 is a wasteful number, since it uses less digits than its factorization.

12221012012202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216233 (or 216227 counting only the distinct ones).

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

Adding to 12221012012202 its reverse (20221021012221), we get a palindrome (32442033024423).

The spelling of 12221012012202 in words is "twelve trillion, two hundred twenty-one billion, twelve million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 4937 5859 9874 11718 14811 29622 34559 44433 69118 88866 103677 133299 153047 207354 211247 266598 306094 311031 422494 459141 622062 633741 918282 933093 1071329 1267482 1377423 1478729 1866186 1901223 2142658 2754846 2957458 3213987 3802446 4132269 4436187 5703669 6427974 6548657 8264538 8872374 9641961 11407338 13097314 13308561 19283922 19645971 26617122 28925883 39291942 39925683 45840599 57851766 58937913 79851366 91681198 117875826 137521797 176813739 275043594 353627478 412565391 825130782 1042926439 1237696173 2085852878 2475392346 3128779317 6257558634 7300485073 9386337951 14600970146 18772675902 21901455219 28159013853 32330719609 43802910438 56318027706 64661439218 65704365657 96992158827 131408731314 193984317654 197113096971 226315037263 290976476481 394226193942 452630074526 581952952962 678945111789 872929429443 1357890223578 1745858858886 2036835335367 4073670670734 6110506006101 12221012012202