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212122102011212 = 222310331171978117
BaseRepresentation
bin110000001110110010000110…
…100010100001010101001100
31000211001200020000012000011102
4300032302012202201111030
5210300402031103324322
62031051314241242232
762452213301314151
oct6016620642412514
91024050200160142
10212122102011212
1161652529634418
121b95a826933378
13914904a4a9233
143a54a9bb9a228
15197cbb1778792
hexc0ec868a154c

212122102011212 has 48 divisors (see below), whose sum is σ = 392371723441152. Its totient is φ = 100141713228480.

The previous prime is 212122102011203. The next prime is 212122102011221. The reversal of 212122102011212 is 212110201221212.

It is an interprime number because it is at equal distance from previous prime (212122102011203) and next prime (212122102011221).

It is an unprimeable number.

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, 33042023 + ... + 38936094.

It is an arithmetic number, because the mean of its divisors is an integer number (8174410905024).

Almost surely, 2212122102011212 is an apocalyptic number.

It is an amenable number.

212122102011212 is a deficient number, since it is larger than the sum of its proper divisors (180249621429940).

212122102011212 is a wasteful number, since it uses less digits than its factorization.

212122102011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71978558 (or 71978556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212122102011212 its reverse (212110201221212), we get a palindrome (424232303232424).

The spelling of 212122102011212 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred two million, eleven thousand, two hundred twelve".

Divisors: 1 2 4 23 46 92 103 206 311 412 622 1244 2369 4738 7153 9476 14306 28612 32033 64066 128132 736759 1473518 2947036 71978117 143956234 287912468 1655496691 3310993382 6621986764 7413746051 14827492102 22385194387 29654984204 44770388774 89540777548 170516159173 341032318346 514859470901 682064636692 1029718941802 2059437883604 2305675021861 4611350043722 9222700087444 53030525502803 106061051005606 212122102011212