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202112200122012 = 223319731349249647
BaseRepresentation
bin101101111101000111101001…
…111001001001111010011100
3222111121201220201210122221000
4231331013221321021322130
5202442401241212401022
61553505021332310300
760400060506161115
oct5575075171117234
9874551821718830
10202112200122012
1159443336a074a4
121a802846a72390
1388a1138a9519b
1437ca3d596720c
1518576073a76ac
hexb7d1e9e49e9c

202112200122012 has 96 divisors (see below), whose sum is σ = 559129054131200. Its totient is φ = 62950591483776.

The previous prime is 202112200122011. The next prime is 202112200122013. The reversal of 202112200122012 is 210221002211202.

It is a happy number.

202112200122012 is a `hidden beast` number, since 2 + 0 + 211 + 220 + 0 + 1 + 220 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (202112200122011) and next prime (202112200122013).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112200122011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674475028 + ... + 674774619.

Almost surely, 2202112200122012 is an apocalyptic number.

It is an amenable number.

202112200122012 is an abundant number, since it is smaller than the sum of its proper divisors (357016854009188).

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

202112200122012 is a wasteful number, since it uses less digits than its factorization.

202112200122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349249752 (or 1349249744 counting only the distinct ones).

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

Adding to 202112200122012 its reverse (210221002211202), we get a palindrome (412333202333214).

The spelling of 202112200122012 in words is "two hundred two trillion, one hundred twelve billion, two hundred million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 73 76 108 114 146 171 219 228 292 342 438 513 657 684 876 1026 1314 1387 1971 2052 2628 2774 3942 4161 5548 7884 8322 12483 16644 24966 37449 49932 74898 149796 1349249647 2698499294 4047748941 5396998588 8095497882 12143246823 16190995764 24286493646 25635743293 36429740469 48572987292 51271486586 72859480938 76907229879 98495224231 102542973172 145718961876 153814459758 196990448462 230721689637 295485672693 307628919516 393980896924 461443379274 590971345386 692165068911 886457018079 922886758548 1181942690772 1384330137822 1772914036158 1871409260389 2659371054237 2768660275644 3545828072316 3742818520778 5318742108474 5614227781167 7485637041556 10637484216948 11228455562334 16842683343501 22456911124668 33685366687002 50528050030503 67370733374004 101056100061006 202112200122012