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212012122302120 = 23357673767095279
BaseRepresentation
bin110000001101001011101011…
…001111001110011010101000
31000210200011100022221220200110
4300031023223033032122220
5210242101311302131440
62030525005134334320
762441241014233650
oct6015135317163250
91023604308856613
10212012122302120
116160a921993158
121b94145295a3a0
13913b871264caa
143a4d627579360
151979dc633d080
hexc0d2eb3ce6a8

212012122302120 has 128 divisors (see below), whose sum is σ = 737747939635200. Its totient is φ = 47736631362816.

The previous prime is 212012122302067. The next prime is 212012122302131. The reversal of 212012122302120 is 21203221210212.

212012122302120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1883491360 + ... + 1883603919.

It is an arithmetic number, because the mean of its divisors is an integer number (5763655778400).

Almost surely, 2212012122302120 is an apocalyptic number.

212012122302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012122302120 is an abundant number, since it is smaller than the sum of its proper divisors (525735817333080).

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

212012122302120 is a wasteful number, since it uses less digits than its factorization.

212012122302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767095367 (or 3767095363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212012122302120 its reverse (21203221210212), we get a palindrome (233215343512332).

The spelling of 212012122302120 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 3767095279 7534190558 11301285837 15068381116 18835476395 22602571674 26369666953 30136762232 37670952790 45205143348 52739333906 56506429185 75341905580 79109000859 90410286696 105478667812 113012858370 131848334765 150683811160 158218001718 210957335624 226025716740 252395383693 263696669530 316436003436 395545004295 452051433480 504790767386 527393339060 632872006872 757186151079 791090008590 1009581534772 1054786678120 1261976918465 1514372302158 1582180017180 1766767685851 2019163069544 2523953836930 3028744604316 3164360034360 3533535371702 3785930755395 5047907673860 5300303057553 6057489208632 7067070743404 7571861510790 8833838429255 10095815347720 10600606115106 14134141486808 15143723021580 17667676858510 21201212230212 26501515287765 30287446043160 35335353717020 42402424460424 53003030575530 70670707434040 106006061151060 212012122302120