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12213064923246 = 2331159641543661
BaseRepresentation
bin1011000110111001001101…
…1001010111100001101110
31121020120001111022122201000
42301232103121113201232
53100044324110020441
641550334330501130
72400236063664525
oct261562331274156
947216044278630
1012213064923246
113989593834230
121452b828947a6
136a78c1692575
14303188cc94bc
15162a5336d2b6
hexb1b9365786e

12213064923246 has 128 divisors (see below), whose sum is σ = 30156278745600. Its totient is φ = 3632518656000.

The previous prime is 12213064923239. The next prime is 12213064923247. The reversal of 12213064923246 is 64232946031221.

12213064923246 is a `hidden beast` number, since 1 + 2 + 2 + 130 + 6 + 492 + 3 + 24 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213064923247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22192656 + ... + 22736316.

It is an arithmetic number, because the mean of its divisors is an integer number (235595927700).

Almost surely, 212213064923246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213064923246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078139372800).

12213064923246 is an abundant number, since it is smaller than the sum of its proper divisors (17943213822354).

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

12213064923246 is a wasteful number, since it uses less digits than its factorization.

12213064923246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544383 (or 544377 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 12213064923246 in words is "twelve trillion, two hundred thirteen billion, sixty-four million, nine hundred twenty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 641 649 1062 1282 1298 1593 1923 1947 3186 3846 3894 5769 5841 7051 11538 11682 14102 17307 17523 21153 34614 35046 37819 42306 63459 75638 113457 126918 190377 226914 340371 380754 416009 543661 680742 832018 1021113 1087322 1248027 1630983 2042226 2496054 3261966 3744081 4892949 5980271 7488162 9785898 11232243 11960542 14678847 17940813 22464486 29357694 32075999 35881626 53822439 64151998 96227997 107644878 161467317 192455994 288683991 322934634 348486701 352835989 577367982 696973402 705671978 866051973 1045460103 1058507967 1732103946 2090920206 2117015934 3136380309 3175523901 3833353711 6272760618 6351047802 7666707422 9409140927 9526571703 11500061133 18818281854 19053143406 20560715359 23000122266 34500183399 41121430718 61682146077 69000366798 103500550197 123364292154 185046438231 207001100394 226167868949 370092876462 452335737898 555139314693 678503606847 1110278629386 1357007213694 2035510820541 4071021641082 6106532461623 12213064923246