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212102202120120 = 233351315106994453
BaseRepresentation
bin110000001110011111100100…
…011010011101011110111000
31000210222202212011000210112000
4300032133210122131132320
5210300040302220320440
62031034223445421000
762450610203115024
oct6016374432353670
91023882764023460
10212102202120120
1161645047670734
121b9569b240a760
1391471c8782850
143a53b30cd3384
15197c3e96d4730
hexc0e7e469d7b8

212102202120120 has 128 divisors (see below), whose sum is σ = 761392520481600. Its totient is φ = 52209772826112.

The previous prime is 212102202120119. The next prime is 212102202120131. The reversal of 212102202120120 is 21021202201212.

It is a happy number.

212102202120120 is a `hidden beast` number, since 2 + 1 + 210 + 220 + 212 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212102202120093 and 212102202120102.

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, 7553483187 + ... + 7553511266.

Almost surely, 2212102202120120 is an apocalyptic number.

212102202120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102202120120 is an abundant number, since it is smaller than the sum of its proper divisors (549290318361480).

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

212102202120120 is a wasteful number, since it uses less digits than its factorization.

212102202120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15106994486 (or 15106994476 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102202120120 its reverse (21021202201212), we get a palindrome (233123404321332).

The spelling of 212102202120120 in words is "two hundred twelve trillion, one hundred two billion, two hundred two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 15106994453 30213988906 45320983359 60427977812 75534972265 90641966718 120855955624 135962950077 151069944530 181283933436 196390927889 226604916795 271925900154 302139889060 362567866872 392781855778 407888850231 453209833590 543851800308 589172783667 604279778120 679814750385 785563711556 815777700462 906419667180 981954639445 1087703600616 1178345567334 1359629500770 1571127423112 1631555400924 1767518351001 1812839334360 1963909278890 2039444251155 2356691134668 2719259001540 2945863918335 3263110801848 3535036702002 3927818557780 4078888502310 4713382269336 5302555053003 5438518003080 5891727836670 7070073404004 7855637115560 8157777004620 8837591755005 10605110106006 11783455673340 14140146808008 16315554009240 17675183510010 21210220212012 23566911346680 26512775265015 35350367020020 42420440424024 53025550530030 70700734040040 106051101060060 212102202120120