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21200220121212 = 223211174421712321
BaseRepresentation
bin1001101001000000011111…
…00101101110100001111100
32210001201110210100221011200
410310200033211232201330
510234321022322334322
6113031125140415500
74315444134514506
oct464401745564174
983051423327150
1021200220121212
116833a6562a490
1224648b29a7590
13baa23137c382
1453414bac4d76
1526b6ee0528ac
hex13480f96e87c

21200220121212 has 144 divisors (see below), whose sum is σ = 61914196247904. Its totient is φ = 6045032448000.

The previous prime is 21200220121189. The next prime is 21200220121271. The reversal of 21200220121212 is 21212102200212.

It is a happy number.

21200220121212 is a `hidden beast` number, since 21 + 200 + 220 + 1 + 212 + 12 = 666.

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, 29406012 + ... + 30118332.

It is an arithmetic number, because the mean of its divisors is an integer number (429959696166).

Almost surely, 221200220121212 is an apocalyptic number.

21200220121212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200220121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30957098123952).

21200220121212 is an abundant number, since it is smaller than the sum of its proper divisors (40713976126692).

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

21200220121212 is a wasteful number, since it uses less digits than its factorization.

21200220121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716780 (or 716775 counting only the distinct ones).

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

Adding to 21200220121212 its reverse (21212102200212), we get a palindrome (42412322321424).

The spelling of 21200220121212 in words is "twenty-one trillion, two hundred billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 4421 6732 8842 13263 17684 26526 39789 48631 53052 75157 79578 97262 145893 150314 159156 194524 225471 291786 300628 437679 450942 583572 676413 712321 826727 875358 901884 1352826 1424642 1653454 1750716 2136963 2480181 2705652 2849284 3306908 4273926 4960362 6410889 7440543 7835531 8547852 9920724 12109457 12821778 14881086 15671062 23506593 24218914 25643556 29762172 31342124 36328371 47013186 48437828 70519779 72656742 94026372 108985113 133204027 141039558 145313484 217970226 266408054 282079116 399612081 435940452 532816108 799224162 1198836243 1598448324 2397672486 3149171141 4795344972 6298342282 9447513423 12596684564 18895026846 28342540269 34640882551 37790053692 53535909397 56685080538 69281765102 103922647653 107071818794 113370161076 138563530204 160607728191 207845295306 214143637588 311767942959 321215456382 415690590612 481823184573 588895003367 623535885918 642430912764 963646369146 1177790006734 1247071771836 1766685010101 1927292738292 2355580013468 3533370020202 5300055030303 7066740040404 10600110060606 21200220121212