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121122220110012 = 2232112335923370193
BaseRepresentation
bin11011100010100011110110…
…111001110111000010111100
3120212212011121202220100022200
4123202203312321313002330
5111333431301322010022
61105334440232311500
734340535345552432
oct3342436671670274
9525764552810280
10121122220110012
1135658710669790
121170236a542590
135277a12832724
1421ca4bd612d52
15e00a00c12bac
hex6e28f6e770bc

121122220110012 has 144 divisors (see below), whose sum is σ = 348536241301248. Its totient is φ = 35106817743360.

The previous prime is 121122220110007. The next prime is 121122220110083. The reversal of 121122220110012 is 210011022221121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 327001588 + ... + 327371780.

It is an arithmetic number, because the mean of its divisors is an integer number (2420390564592).

Almost surely, 2121122220110012 is an apocalyptic number.

121122220110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121122220110012 is an abundant number, since it is smaller than the sum of its proper divisors (227414021191236).

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

121122220110012 is a wasteful number, since it uses less digits than its factorization.

121122220110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406160 (or 406155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121122220110012 its reverse (210011022221121), we get a palindrome (331133242331133).

The spelling of 121122220110012 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 35923 71846 107769 143692 215538 323307 370193 395153 431076 646614 740386 790306 826229 1110579 1185459 1293228 1480772 1580612 1652458 2221158 2370918 2478687 3304916 3331737 3556377 4072123 4442316 4741836 4957374 6663474 7112754 7436061 8144246 8514439 9088519 9914748 12216369 13326948 14225508 14872122 16288492 17028878 18177038 24432738 25543317 27265557 29744244 34057756 36354076 36649107 48865476 51086634 54531114 73298214 76629951 81796671 93658829 102173268 109062228 146596428 153259902 163593342 187317658 280976487 306519804 327186684 374635316 561952974 842929461 1123905948 1685858922 3371717844 13298443139 26596886278 39895329417 53193772556 79790658834 119685988251 146282874529 159581317668 239371976502 292565749058 305864192197 438848623587 478743953004 585131498116 611728384394 877697247174 917592576591 1223456768788 1316545870761 1755394494348 1835185153182 2633091741522 2752777729773 3364506114167 3670370306364 5266183483044 5505555459546 6729012228334 10093518342501 11011110919092 13458024456668 20187036685002 30280555027503 40374073370004 60561110055006 121122220110012