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212201122222012 = 2272111719304716799
BaseRepresentation
bin110000001111111011101100…
…100000101100111110111100
31000211100020012001122122001111
4300033323230200230332330
5210303200344242101022
62031151503314451404
762461011425112400
oct6017735440547674
91024306161578044
10212201122222012
1161682a99471360
121b971bba593b64
13915363162c211
143a58836769100
15197ec88c09477
hexc0feec82cfbc

212201122222012 has 144 divisors (see below), whose sum is σ = 525234253824000. Its totient is φ = 73717087772160.

The previous prime is 212201122221971. The next prime is 212201122222039. The reversal of 212201122222012 is 210222221102212.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 151662012 + ... + 153054787.

It is an arithmetic number, because the mean of its divisors is an integer number (3647460096000).

Almost surely, 2212201122222012 is an apocalyptic number.

212201122222012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212201122222012 is an abundant number, since it is smaller than the sum of its proper divisors (313033131601988).

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

212201122222012 is a wasteful number, since it uses less digits than its factorization.

212201122222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304716864 (or 304716855 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 212201122222012 its reverse (210222221102212), we get a palindrome (422423343324224).

The spelling of 212201122222012 in words is "two hundred twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 49 68 76 77 98 119 133 154 187 196 209 238 266 308 323 374 418 476 532 539 646 748 833 836 931 1078 1292 1309 1463 1666 1862 2156 2261 2618 2926 3332 3553 3724 4522 5236 5852 7106 9044 9163 10241 14212 15827 18326 20482 24871 31654 36652 40964 49742 63308 99484 174097 348194 696388 304716799 609433598 1218867196 2133017593 3351884789 4266035186 5180185583 5789619181 6703769578 8532070372 10360371166 11579238362 13407539156 14931123151 20720742332 23158476724 23463193523 29862246302 36261299081 40527334267 46926387046 56982041413 59724492604 63685810991 72522598162 81054668534 93852774092 98423526077 113964082826 127371621982 145045196324 162109337068 164242354661 196847052154 227928165652 253829093567 254743243964 283691339869 328484709322 393694104308 398874289891 445800676937 507658187134 567382679738 656969418644 688964682539 797748579782 891601353874 1015316374268 1082658786847 1134765359476 1377929365078 1595497159564 1783202707748 2165317573694 2755858730156 2792120029237 3120604738559 4330635147388 4822752777773 5584240058474 6241209477118 7578611507929 9645505555546 11168480116948 12482418954236 15157223015858 19291011111092 30314446031716 53050280555503 106100561111006 212201122222012