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122101122222112 = 25118532267179381
BaseRepresentation
bin11011110000110011100010…
…000001000100100000100000
3121000022202100010221000111011
4123300303202001010200200
5112001001044242101422
61111404251534030304
734501341430326265
oct3360634201044040
9530282303830434
10122101122222112
11359a5882363190
1211840022948394
135319117b32117
142221a23a2526c
15e1b1e5143077
hex6f0ce2044820

122101122222112 has 96 divisors (see below), whose sum is σ = 262664619666624. Its totient is φ = 55410682905600.

The previous prime is 122101122222109. The next prime is 122101122222113. The reversal of 122101122222112 is 211222221101221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (122101122222113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680590662 + ... + 680770042.

It is an arithmetic number, because the mean of its divisors is an integer number (2736089788194).

Almost surely, 2122101122222112 is an apocalyptic number.

It is an amenable number.

122101122222112 is an abundant number, since it is smaller than the sum of its proper divisors (140563497444512).

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

122101122222112 is a wasteful number, since it uses less digits than its factorization.

122101122222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182522 (or 182514 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122101122222112 its reverse (211222221101221), we get a palindrome (333323343323333).

The spelling of 122101122222112 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 853 1706 2267 3412 4534 6824 9068 9383 13648 18136 18766 24937 27296 36272 37532 49874 72544 75064 99748 150128 179381 199496 300256 358762 398992 717524 797984 1435048 1933751 1973191 2870096 3867502 3946382 5740192 7735004 7892764 15470008 15785528 21271261 30940016 31571056 42542522 61880032 63142112 85085044 153011993 170170088 306023986 340340176 406656727 612047972 680680352 813313454 1224095944 1626626908 1683131923 2448191888 3253253816 3366263846 4473223997 4896383776 6506507632 6732527692 8946447994 13013015264 13465055384 17892895988 26930110768 35785791976 53860221536 71571583952 143143167904 346878188131 693756376262 1387512752524 2775025505048 3815660069441 5550051010096 7631320138882 11100102020192 15262640277764 30525280555528 61050561111056 122101122222112