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12223310221122 = 23711133755004951
BaseRepresentation
bin1011000111011111011000…
…0100000100111101000010
31121021112111111122201020220
42301313312010010331002
53100231314404033442
641555151115043510
72401051010405610
oct261676604047502
947245444581226
1012223310221122
113992970a60160
121454b61a40596
136a88651370c0
1430387b8626b0
15162e52a31eec
hexb1df6104f42

12223310221122 has 128 divisors (see below), whose sum is σ = 33710554902528. Its totient is φ = 2851456608000.

The previous prime is 12223310221091. The next prime is 12223310221181. The reversal of 12223310221122 is 22112201332221.

It is a junction number, because it is equal to n+sod(n) for n = 12223310221092 and 12223310221101.

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, 27280254 + ... + 27724697.

It is an arithmetic number, because the mean of its divisors is an integer number (263363710176).

Almost surely, 212223310221122 is an apocalyptic number.

12223310221122 is an abundant number, since it is smaller than the sum of its proper divisors (21487244681406).

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

12223310221122 is a wasteful number, since it uses less digits than its factorization.

12223310221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55005024.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12223310221122 its reverse (22112201332221), we get a palindrome (34335511553343).

The spelling of 12223310221122 in words is "twelve trillion, two hundred twenty-three billion, three hundred ten million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 55004951 110009902 165014853 330029706 385034657 605054461 715064363 770069314 1155103971 1210108922 1430128726 1815163383 2035183187 2145193089 2310207942 3630326766 4070366374 4235381227 4290386178 5005450541 6105549561 7865707993 8470762454 10010901082 12211099122 12706143681 14246282309 15016351623 15731415986 22387015057 23597123979 25412287362 26457381431 28492564618 30032703246 42738846927 44774030114 47194247958 52914762862 55059955951 67161045171 79372144293 85477693854 110119911902 134322090342 156709105399 158744288586 165179867853 185201670017 291031195741 313418210798 330359735706 370403340034 470127316197 555605010051 582062391482 873093587223 940254632394 1111210020102 1746187174446 2037218370187 4074436740374 6111655110561 12223310221122