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212212201210002 = 23473134571746209
BaseRepresentation
bin110000010000000110000000…
…110111101100000010010010
31000211101021210011201112110000
4300100012000313230002102
5210303341042002210002
62031200534523550430
762461553114005050
oct6020060067540222
91024337704645400
10212212201210002
1161687764249a84
121b97419098b416
1391546a8a21406
143a591a7d1b1d0
1519801d669c61c
hexc10180dec092

212212201210002 has 160 divisors (see below), whose sum is σ = 561135894359040. Its totient is φ = 58659177922560.

The previous prime is 212212201209989. The next prime is 212212201210007. The reversal of 212212201210002 is 200012102212212.

It is a happy number.

212212201210002 is a `hidden beast` number, since 212 + 21 + 220 + 1 + 210 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212212201210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120654274 + ... + 122400482.

It is an arithmetic number, because the mean of its divisors is an integer number (3507099339744).

Almost surely, 2212212201210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212201210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280567947179520).

212212201210002 is an abundant number, since it is smaller than the sum of its proper divisors (348923693149038).

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

212212201210002 is a wasteful number, since it uses less digits than its factorization.

212212201210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749718 (or 1749709 counting only the distinct ones).

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

Adding to 212212201210002 its reverse (200012102212212), we get a palindrome (412224303422214).

The spelling of 212212201210002 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred one million, two hundred ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 378 434 558 567 651 837 1134 1302 1674 1953 2511 3457 3906 5022 5859 6914 10371 11718 17577 20742 24199 31113 35154 48398 62226 72597 93339 107167 145194 186678 214334 217791 280017 321501 435582 560034 643002 653373 750169 964503 1306746 1500338 1746209 1929006 1960119 2250507 2893509 3492418 3920238 4501014 5238627 5787018 6751521 8680527 10477254 12223463 13503042 15715881 17361054 20254563 24446926 31431762 36670389 40509126 47147643 54132479 60763689 73340778 94295286 108264958 110011167 121527378 141442929 162397437 220022334 282885858 324794874 330033501 378927353 487192311 660067002 757854706 974384622 990100503 1136782059 1461576933 1980201006 2273564118 2923153866 3410346177 4384730799 6036644513 6820692354 8769461598 10231038531 12073289026 18109933539 20462077062 30693115593 36219867078 42256511591 54329800617 61386231186 84513023182 108659601234 126769534773 162989401851 187135979903 253539069546 325978803702 374271959806 380308604319 488968205553 561407939709 760617208638 977936411106 1122815879418 1140925812957 1309951859321 1684223819127 2281851625914 2619903718642 3368447638254 3422777438871 3929855577963 5052671457381 6845554877742 7859711155926 10105342914762 11789566733889 15158014372143 23579133467778 30316028744286 35368700201667 70737400403334 106106100605001 212212201210002