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212120022101012 = 224761613216113963
BaseRepresentation
bin110000001110110000001010…
…100100010010110000010100
31000211001110212001110121202022
4300032300022210102300110
5210300333301124213022
62031050332021432312
762452110614342054
oct6016601244226024
91024043761417668
10212120022101012
1161651661578073
121b95a34626b698
139148aa860363c
143a5494185d564
15197caddd7dc42
hexc0ec0a912c14

212120022101012 has 96 divisors (see below), whose sum is σ = 386157849982464. Its totient is φ = 101880691660800.

The previous prime is 212120022100963. The next prime is 212120022101017. The reversal of 212120022101012 is 210101220021212.

It is a super-2 number, since 2×2121200221010122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120022101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15191572343 + ... + 15191586305.

It is an arithmetic number, because the mean of its divisors is an integer number (4022477603984).

Almost surely, 2212120022101012 is an apocalyptic number.

It is an amenable number.

212120022101012 is a deficient number, since it is larger than the sum of its proper divisors (174037827881452).

212120022101012 is a wasteful number, since it uses less digits than its factorization.

212120022101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16849 (or 16847 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212120022101012 its reverse (210101220021212), we get a palindrome (422221242122224).

The spelling of 212120022101012 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, one hundred one thousand, twelve".

Divisors: 1 2 4 47 61 94 122 188 244 613 1226 2161 2452 2867 4322 5734 8644 11468 13963 27926 28811 37393 55852 57622 74786 101567 115244 131821 149572 203134 263642 406268 527284 656261 851743 1312522 1324693 1703486 1757471 2625044 2649386 3406972 3514942 5298772 6195587 7029884 8559319 12391174 17118638 24782348 30174043 34237276 40031921 60348086 62260571 80063842 80806273 120696172 124521142 160127684 161612546 249042284 323225092 402287993 522118459 804575986 1044236918 1418180021 1609151972 1840616623 2088473836 2836360042 3681233246 3797894831 5672720084 7362466492 7595789662 15191579324 18496688359 24539567573 36993376718 49079135146 73986753436 86508981281 98158270292 173017962562 346035925124 869344352873 1128297989899 1738688705746 2256595979798 3477377411492 4513191959596 53030005525253 106060011050506 212120022101012