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122221220001122 = 211219331340120849
BaseRepresentation
bin11011110010100011011000…
…011001101111010101100010
3121000202020022222002022120102
4123302203120121233111202
5112004433024310013442
61111535353042142402
734513122524523554
oct3362433031572542
9530666288068512
10122221220001122
1135a41801432100
121185b35b351a02
135327547363098
142227777d414d4
15e1e3c39b0232
hex6f28d866f562

122221220001122 has 96 divisors (see below), whose sum is σ = 203721275242800. Its totient is φ = 54950658048000.

The previous prime is 122221220001119. The next prime is 122221220001131. The reversal of 122221220001122 is 221100022122221.

It can be written as a sum of positive squares in 8 ways, for example, as 74254084960561 + 47967135040561 = 8617081^2 + 6925831^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122221220001094 and 122221220001103.

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, 5862199754 + ... + 5862220602.

Almost surely, 2122221220001122 is an apocalyptic number.

122221220001122 is a deficient number, since it is larger than the sum of its proper divisors (81500055241678).

122221220001122 is a wasteful number, since it uses less digits than its factorization.

122221220001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21780 (or 21769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122221220001122 its reverse (221100022122221), we get a palindrome (343321242123343).

The spelling of 122221220001122 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred twenty million, one thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 193 242 313 386 401 626 802 2123 3443 4246 4411 6886 8822 20849 23353 37873 41698 46706 48521 60409 75746 77393 97042 120818 125513 154786 229339 251026 458678 664499 851323 1328998 1380643 1702646 2522729 2761286 4023857 5045458 6525737 7309489 8047714 8360449 9364553 13051474 14618978 15187073 16720898 18729106 24224009 30374146 44262427 48448018 71783107 88524854 91964939 143566214 183929878 266464099 486886697 532928198 789614177 973773394 1011614329 1259467241 1579228354 1613566657 2023228658 2518934482 2616820537 2931105089 3227133314 5233641074 5862210178 13854139651 17749233227 27708279302 28785025907 35498466454 57570051814 152395536161 195241565497 304791072322 316635284977 390483130994 505046363641 633270569954 1010092727282 5555510000051 11111020000102 61110610000561 122221220001122