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212120012122120 = 23531383632025887
BaseRepresentation
bin110000001110110000001001…
…111110001110100000001000
31000211001110211100200122021201
4300032300021332032200020
5210300333241100401440
62031050331023513544
762452110433461064
oct6016601176164010
91024043740618251
10212120012122120
1161651656981853
121b95a342a588b4
139148aa651b57b
143a549403c2aa4
15197cadd05c19a
hexc0ec09f8e808

212120012122120 has 64 divisors (see below), whose sum is σ = 478852339576320. Its totient is φ = 84566769990144.

The previous prime is 212120012122097. The next prime is 212120012122129. The reversal of 212120012122120 is 21221210021212.

It is not an unprimeable number, because it can be changed into a prime (212120012122129) 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 15 ways as a sum of consecutive naturals, for example, 103691817 + ... + 105717703.

It is an arithmetic number, because the mean of its divisors is an integer number (7482067805880).

Almost surely, 2212120012122120 is an apocalyptic number.

212120012122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120012122120 is an abundant number, since it is smaller than the sum of its proper divisors (266732327454200).

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

212120012122120 is a wasteful number, since it uses less digits than its factorization.

212120012122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034574 (or 2034570 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212120012122120 its reverse (21221210021212), we get a palindrome (233341222143332).

The spelling of 212120012122120 in words is "two hundred twelve trillion, one hundred twenty billion, twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 8363 12520 16726 33452 41815 66904 83630 167260 334520 2025887 2617619 4051774 5235238 8103548 10129435 10470476 13088095 16207096 20258870 20940952 26176190 40517740 52352380 81035480 104704760 634102631 1268205262 2536410524 3170513155 5072821048 6341026310 12682052620 16942492981 25364105240 33884985962 67769971924 84712464905 135539943848 169424929810 338849859620 677699719240 5303000303053 10606000606106 21212001212212 26515001515265 42424002424424 53030003030530 106060006061060 212120012122120