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20212211312112 = 2439723939074649
BaseRepresentation
bin1001001100010000001011…
…01011001110010111110000
32122120021020202111010020010
410212020011223032113300
510122124102043441422
6110553210043014520
74154166303302631
oct446100553162760
978507222433203
1020212211312112
116492a50399816
12232531880a440
13b38007482881
144dc3c2045888
15250b753bbb0c
hex126205ace5f0

20212211312112 has 160 divisors (see below), whose sum is σ = 52998857856000. Its totient is φ = 6636919209984.

The previous prime is 20212211312107. The next prime is 20212211312129. The reversal of 20212211312112 is 21121311221202.

It is a super-2 number, since 2×202122113121122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4347644764 + ... + 4347649412.

It is an arithmetic number, because the mean of its divisors is an integer number (331242861600).

Almost surely, 220212211312112 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 20212211312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26499428928000).

20212211312112 is an abundant number, since it is smaller than the sum of its proper divisors (32786646543888).

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

20212211312112 is a wasteful number, since it uses less digits than its factorization.

20212211312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8903 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 20212211312112 its reverse (21121311221202), we get a palindrome (41333522533314).

It can be divided in two parts, 2021221 and 1312112, that added together give a palindrome (3333333).

The spelling of 20212211312112 in words is "twenty trillion, two hundred twelve billion, two hundred eleven million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 239 291 388 478 582 717 776 956 1164 1434 1552 1912 2328 2868 3824 3907 4649 4656 5736 7814 9298 11472 11721 13947 15628 18596 23183 23442 27894 31256 37192 46366 46884 55788 62512 69549 74384 92732 93768 111576 139098 185464 187536 223152 278196 370928 378979 450953 556392 757958 901906 933773 1111111 1112784 1136937 1352859 1515916 1803812 1867546 2222222 2273874 2705718 2801319 3031832 3333333 3607624 3735092 4444444 4547748 5411436 5602638 6063664 6666666 7215248 7470184 8888888 9095496 10822872 11205276 13333332 14940368 17777776 18163643 18190992 21645744 22410552 26666664 36327286 44821104 53333328 54490929 72654572 90575981 107777767 108981858 145309144 181151962 215555534 217963716 271727943 290618288 323333301 362303924 431111068 435927432 543455886 646666602 724607848 862222136 871854864 1086911772 1293333204 1449215696 1724444272 1761873371 2173823544 2586666408 3523746742 4341110677 4347647088 5173332816 5285620113 7047493484 8682221354 10571240226 13023332031 14094986968 17364442708 21142480452 26046664062 28189973936 34728885416 42284960904 52093328124 69457770832 84569921808 104186656248 208373312496 421087735669 842175471338 1263263207007 1684350942676 2526526414014 3368701885352 5053052828028 6737403770704 10106105656056 20212211312112