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20012110222212 = 22323147616254621
BaseRepresentation
bin1001000110011011011101…
…01110001001001110000100
32121212010202100222112110100
410203031232232021032010
510110334300204102322
6110321234142124100
74133553514144113
oct443155656111604
977763670875410
1020012110222212
1164160a7562249
1222b2593280630
13b2219822aab4
144d283c76bc7a
1524a863129dac
hex12336eb89384

20012110222212 has 144 divisors (see below), whose sum is σ = 54203254769664. Its totient is φ = 6214590432000.

The previous prime is 20012110222187. The next prime is 20012110222219. The reversal of 20012110222212 is 21222201121002.

It is a happy number.

20012110222212 is a `hidden beast` number, since 20 + 0 + 1 + 211 + 0 + 222 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20012110222219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72262 + ... + 6326882.

It is an arithmetic number, because the mean of its divisors is an integer number (376411491456).

Almost surely, 220012110222212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012110222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101627384832).

20012110222212 is an abundant number, since it is smaller than the sum of its proper divisors (34191144547452).

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

20012110222212 is a wasteful number, since it uses less digits than its factorization.

20012110222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254770 (or 6254765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20012110222212 its reverse (21222201121002), we get a palindrome (41234311343214).

The spelling of 20012110222212 in words is "twenty trillion, twelve billion, one hundred ten million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 61 62 93 94 122 124 141 183 186 188 244 279 282 366 372 423 549 558 564 732 846 1098 1116 1457 1692 1891 2196 2867 2914 3782 4371 5673 5734 5828 7564 8601 8742 11346 11468 13113 17019 17202 17484 22692 25803 26226 34038 34404 51606 52452 68076 88877 103212 177754 266631 355508 533262 799893 1066524 1599786 3199572 6254621 12509242 18763863 25018484 37527726 56291589 75055452 112583178 193893251 225166356 293967187 381531881 387786502 581679753 587934374 763063762 775573004 881901561 1144595643 1163359506 1175868748 1526127524 1745039259 1763803122 2289191286 2326719012 2645704683 3433786929 3490078518 3527606244 4578382572 5291409366 6867573858 6980157036 9112982797 10582818732 11827488311 13735147716 17931998407 18225965594 23654976622 27338948391 35482464933 35863996814 36451931188 47309953244 53795995221 54677896782 70964929866 71727993628 82016845173 106447394799 107591990442 109355793564 141929859732 161387985663 164033690346 212894789598 215183980884 322775971326 328067380692 425789579196 555891950617 645551942652 1111783901234 1667675851851 2223567802468 3335351703702 5003027555553 6670703407404 10006055111106 20012110222212