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12202210331340 = 223559612926351
BaseRepresentation
bin1011000110010000110001…
…1010011000101011001100
31121012112001000111020212120
42301210030122120223030
53044410111321100330
641541341255132540
72366403101325141
oct261441432305314
947175030436776
1012202210331340
113984a23691717
121450a53674150
136a6881919a13
1430283946a3c8
1516261a452c10
hexb190c698acc

12202210331340 has 144 divisors (see below), whose sum is σ = 35324247329280. Its totient is φ = 3146329248000.

The previous prime is 12202210331323. The next prime is 12202210331347. The reversal of 12202210331340 is 4313301220221.

It is a self number, because there is not a number n which added to its sum of digits gives 12202210331340.

It is not an unprimeable number, because it can be changed into a prime (12202210331347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12709165 + ... + 13635515.

It is an arithmetic number, because the mean of its divisors is an integer number (245307273120).

Almost surely, 212202210331340 is an apocalyptic number.

12202210331340 is a gapful number since it is divisible by the number (10) 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 12202210331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662123664640).

12202210331340 is an abundant number, since it is smaller than the sum of its proper divisors (23122036997940).

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

12202210331340 is a wasteful number, since it uses less digits than its factorization.

12202210331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926544 (or 926481 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12202210331340 its reverse (4313301220221), we get a palindrome (16515511551561).

The spelling of 12202210331340 in words is "twelve trillion, two hundred two billion, two hundred ten million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 61 118 122 177 183 236 244 295 305 354 366 590 610 708 732 885 915 1180 1220 1770 1830 3540 3599 3660 3721 7198 7442 10797 11163 14396 14884 17995 18605 21594 22326 35990 37210 43188 44652 53985 55815 71980 74420 107970 111630 215940 219539 223260 439078 658617 878156 926351 1097695 1317234 1852702 2195390 2634468 2779053 3293085 3705404 4390780 4631755 5558106 6586170 9263510 11116212 13172340 13895265 18527020 27790530 54654709 55581060 56507411 109309418 113014822 163964127 169522233 218618836 226029644 273273545 282537055 327928254 339044466 546547090 565074110 655856508 678088932 819820635 847611165 1093094180 1130148220 1639641270 1695222330 3279282540 3333937249 3390444660 3446952071 6667874498 6893904142 10001811747 10340856213 13335748996 13787808284 16669686245 17234760355 20003623494 20681712426 33339372490 34469520710 40007246988 41363424852 50009058735 51704281065 66678744980 68939041420 100018117470 103408562130 200036234940 203370172189 206817124260 406740344378 610110516567 813480688756 1016850860945 1220221033134 2033701721890 2440442066268 3050552582835 4067403443780 6101105165670 12202210331340