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212111121111212 = 2273101137157334379
BaseRepresentation
bin110000001110100111111000…
…000001101101100010101100
31000211000121212201200111012102
4300032213320001231202230
5210300212034001024322
62031042300454354232
762451344213231351
oct6016477001554254
91024017781614172
10212111121111212
1161648904161754
121b95868135b978
139147cba50b47b
143a5433965c628
15197c76c70d792
hexc0e9f806d8ac

212111121111212 has 96 divisors (see below), whose sum is σ = 385217845830720. Its totient is φ = 102155956531200.

The previous prime is 212111121111203. The next prime is 212111121111221.

212111121111212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (212111121111203) and next prime (212111121111221).

It is a super-2 number, since 2×2121111211112122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 634176239 + ... + 634510617.

It is an arithmetic number, because the mean of its divisors is an integer number (4012685894070).

Almost surely, 2212111121111212 is an apocalyptic number.

It is an amenable number.

212111121111212 is a deficient number, since it is larger than the sum of its proper divisors (173106724719508).

212111121111212 is a wasteful number, since it uses less digits than its factorization.

212111121111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334851 (or 334849 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

The spelling of 212111121111212 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 73 101 137 146 157 202 274 292 314 404 548 628 7373 10001 11461 13837 14746 15857 20002 21509 22922 27674 29492 31714 40004 43018 45844 55348 63428 86036 334379 668758 1010101 1157561 1337516 1570157 2020202 2172409 2315122 3140314 4040404 4344818 4630244 6280628 8689636 24409667 33772279 45809923 48819334 52497503 67544558 91619846 97638668 104995006 135089116 158585857 183239692 209990012 317171714 634343428 2465376367 3344124379 3832317719 4626802223 4930752734 5302247803 6688248758 7192157911 7664635438 9253604446 9861505468 10604495606 13376497516 14384315822 15329270876 18507208892 21208991212 28768631644 337756562279 387064089619 525027527503 675513124558 726407949011 774128179238 1050055055006 1351026249116 1452815898022 1548256358476 2100110110012 2905631796044 53027780277803 106055560555606 212111121111212