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212102011122000 = 24353102134623247
BaseRepresentation
bin110000001110011111011001…
…000001110111000101010000
31000210222202100211122002100120
4300032133121001313011100
5210300034404321401000
62031034152503550240
762450602363502136
oct6016373101670520
91023882324562316
10212102011122000
1161644a59876a4a
121b95695a45b380
13914719802a9cc
143a53b137b5756
15197c3d7a576a0
hexc0e7d9077150

212102011122000 has 160 divisors (see below), whose sum is σ = 684486655716864. Its totient is φ = 56505137472000.

The previous prime is 212102011121989. The next prime is 212102011122047. The reversal of 212102011122000 is 221110201212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 11185624 + ... + 23437623.

Almost surely, 2212102011122000 is an apocalyptic number.

212102011122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102011122000 is an abundant number, since it is smaller than the sum of its proper divisors (472384644594864).

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

212102011122000 is a wasteful number, since it uses less digits than its factorization.

212102011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34624294 (or 34624278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212102011122000 its reverse (221110201212), we get a palindrome (212323121323212).

The spelling of 212102011122000 in words is "two hundred twelve trillion, one hundred two billion, eleven million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1021 1200 1500 2000 2042 3000 3063 4084 5105 6000 6126 8168 10210 12252 15315 16336 20420 24504 25525 30630 40840 49008 51050 61260 76575 81680 102100 122520 127625 153150 204200 245040 255250 306300 382875 408400 510500 612600 765750 1021000 1225200 1531500 2042000 3063000 6126000 34623247 69246494 103869741 138492988 173116235 207739482 276985976 346232470 415478964 519348705 553971952 692464940 830957928 865581175 1038697410 1384929880 1661915856 1731162350 2077394820 2596743525 2769859760 3462324700 4154789640 4327905875 5193487050 6924649400 8309579280 8655811750 10386974100 12983717625 13849298800 17311623500 20773948200 25967435250 34623247000 35350335187 41547896400 51934870500 69246494000 70700670374 103869741000 106051005561 141401340748 176751675935 207739482000 212102011122 282802681496 353503351870 424204022244 530255027805 565605362992 707006703740 848408044488 883758379675 1060510055610 1414013407480 1696816088976 1767516759350 2121020111220 2651275139025 2828026814960 3535033518700 4242040222440 4418791898375 5302550278050 7070067037400 8484080444880 8837583796750 10605100556100 13256375695125 14140134074800 17675167593500 21210201112200 26512751390250 35350335187000 42420402224400 53025502780500 70700670374000 106051005561000 212102011122000