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20001212101221 = 31337139317314569
BaseRepresentation
bin1001000110000111001010…
…01001000111001001100101
32121211002121212020121221120
410203003211021013021211
510110144440244214341
6110312232513404153
74133016452510451
oct443034511071145
977732555217846
1020001212101221
11641151488968a
1222b0451569659
13b2114c4542b0
144d20c721b661
1524a4264b2066
hex1230e5247265

20001212101221 has 64 divisors (see below), whose sum is σ = 29801908819200. Its totient is φ = 11852076681216.

The previous prime is 20001212101201. The next prime is 20001212101267. The reversal of 20001212101221 is 12210121210002.

It is not a de Polignac number, because 20001212101221 - 219 = 20001211576933 is a prime.

It is a super-4 number, since 4×200012121012214 (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20001212101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001212101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63425625 + ... + 63740193.

It is an arithmetic number, because the mean of its divisors is an integer number (465654825300).

Almost surely, 220001212101221 is an apocalyptic number.

It is an amenable number.

20001212101221 is a deficient number, since it is larger than the sum of its proper divisors (9800696717979).

20001212101221 is a wasteful number, since it uses less digits than its factorization.

20001212101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315078.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20001212101221 its reverse (12210121210002), we get a palindrome (32211333311223).

The spelling of 20001212101221 in words is "twenty trillion, one billion, two hundred twelve million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 13 37 39 111 139 317 417 481 951 1443 1807 4121 5143 5421 11729 12363 15429 35187 44063 66859 132189 152477 200577 314569 457431 572819 943707 1630331 1718457 4089397 4890993 11639053 12268191 21194303 34917159 43725091 63582909 99718373 131175273 151307689 299155119 453923067 568426183 1296338849 1617828367 1705278549 3689579801 3889016547 4853485101 11068739403 13860853847 21031768771 41582561541 47964537413 63095306313 143893612239 180191100011 512851592339 540573300033 1538554777017 6667070700407 20001212101221