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12202001121222 = 232111273791280333
BaseRepresentation
bin1011000110001111111111…
…1100010011111111000110
31121012111111102211021112200
42301203333330103333012
53044404144241334342
641541304423055330
72366364651141123
oct261437774237706
947174442737480
1012202001121222
113984926588aa0
1214509b55a1546
136a684a489553
1430281976b74a
15162606dc994c
hexb18fff13fc6

12202001121222 has 96 divisors (see below), whose sum is σ = 29144908615680. Its totient is φ = 3658779149760.

The previous prime is 12202001121199. The next prime is 12202001121257. The reversal of 12202001121222 is 22212110020221.

It is a happy number.

12202001121222 is a `hidden beast` number, since 1 + 220 + 200 + 1 + 1 + 21 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12202001121195 and 12202001121204.

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, 8890168 + ... + 10170500.

It is an arithmetic number, because the mean of its divisors is an integer number (303592798080).

Almost surely, 212202001121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202001121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572454307840).

12202001121222 is an abundant number, since it is smaller than the sum of its proper divisors (16942907494458).

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

12202001121222 is a wasteful number, since it uses less digits than its factorization.

12202001121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280858 (or 1280855 counting only the distinct ones).

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

Adding to 12202001121222 its reverse (22212110020221), we get a palindrome (34414111141443).

The spelling of 12202001121222 in words is "twelve trillion, two hundred two billion, one million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 379 381 758 762 1137 1143 1397 2274 2286 2794 3411 4169 4191 6822 8338 8382 12507 12573 25014 25146 37521 48133 75042 96266 144399 288798 433197 529463 866394 1058926 1280333 1588389 2560666 3176778 3840999 4765167 7681998 9530334 11522997 14083663 23045994 28167326 42250989 84501978 126752967 162602291 253505934 325204582 485246207 487806873 970492414 975613746 1455738621 1463420619 1788625201 2911477242 2926841238 3577250402 4367215863 5337708277 5365875603 8734431726 10675416554 10731751206 16013124831 16097626809 32026249662 32195253618 48039374493 61626268289 96078748986 123252536578 184878804867 369757609734 554636414601 677888951179 1109272829202 1355777902358 2033666853537 4067333707074 6101000560611 12202001121222