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212112210101122 = 219297312733476203
BaseRepresentation
bin110000001110101000111000…
…111011111000001110000010
31000211000201200121210220112001
4300032220320323320032002
5210300221301241213442
62031043000515254214
762451413205420142
oct6016507073701602
91024021617726461
10212112210101122
1161649312936a11
121b958925baa36a
1391481320058b6
143a54400132922
15197c7d311c2b7
hexc0ea38ef8382

212112210101122 has 128 divisors (see below), whose sum is σ = 354137105203200. Its totient is φ = 94883626768896.

The previous prime is 212112210101101. The next prime is 212112210101137. The reversal of 212112210101122 is 221101012211212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 212112210101122.

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, 34195097673 + ... + 34195103875.

It is an arithmetic number, because the mean of its divisors is an integer number (2766696134400).

Almost surely, 2212112210101122 is an apocalyptic number.

212112210101122 is a deficient number, since it is larger than the sum of its proper divisors (142024895102078).

212112210101122 is a wasteful number, since it uses less digits than its factorization.

212112210101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212112210101122 its reverse (221101012211212), we get a palindrome (433213222312334).

The spelling of 212112210101122 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 19 29 38 58 73 127 146 254 551 1102 1387 2117 2413 2774 3347 3683 4234 4826 6203 6694 7366 9271 12406 18542 40223 63593 69977 80446 97063 117857 127186 139954 176149 179887 194126 235714 244331 268859 352298 359774 425069 452819 488662 537718 787781 850138 905638 1575562 1844197 3417853 3688394 4642289 5108321 6835706 7085599 8076311 8603561 9284578 10216642 12327001 13131751 14171198 14967839 16152622 17207122 20761441 22845649 24654002 26263502 29935678 31030037 41522882 45691298 57508013 62060074 115016026 134626381 234213019 249503269 269252762 394467379 434067331 468426038 499006538 589570703 602081789 788934758 868134662 899871073 1092652247 1179141406 1204163578 1515585193 1667732377 1799742146 2185304494 2636703007 3031170386 3335464754 5273406014 11439553991 17097550387 22879107982 28796118667 31686915163 34195100774 43951970597 50097357133 57592237334 63373830326 76464387203 87903941194 100194714266 152928774406 192479319511 384958639022 835087441343 1452823356857 1670174882686 2905646713714 3657107070709 5581900265819 7314214141418 11163800531638 106056105050561 212112210101122