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12210002119320 = 2335719523327043
BaseRepresentation
bin1011000110101101110011…
…0101101100101010011000
31121020021011001010002120120
42301223130311230222120
53100022041020304240
641545110400153240
72400100143406155
oct261533465545230
947207131102516
1012210002119320
113988261978315
121452469008820
136a7523c8ba55
14302d7821522c
15162924520ad0
hexb1adcd6ca98

12210002119320 has 128 divisors (see below), whose sum is σ = 36689318323200. Its totient is φ = 3250730502144.

The previous prime is 12210002119307. The next prime is 12210002119321. The reversal of 12210002119320 is 2391120001221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210002119321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451489719 + ... + 451516761.

It is an arithmetic number, because the mean of its divisors is an integer number (286635299400).

Almost surely, 212210002119320 is an apocalyptic number.

12210002119320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210002119320 is an abundant number, since it is smaller than the sum of its proper divisors (24479316203880).

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

12210002119320 is a wasteful number, since it uses less digits than its factorization.

12210002119320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33009 (or 33005 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12210002119320 in words is "twelve trillion, two hundred ten billion, two million, one hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 719 1438 2157 2876 3595 4314 5233 5752 7190 8628 10466 10785 14380 15699 17256 20932 21570 26165 27043 28760 31398 41864 43140 52330 54086 62796 78495 81129 86280 104660 108172 125592 135215 156990 162258 209320 216344 270430 313980 324516 405645 540860 627960 649032 811290 1081720 1622580 3245160 3762527 7525054 11287581 15050108 18812635 19443917 22575162 30100216 37625270 38887834 45150324 56437905 58331751 75250540 77775668 90300648 97219585 112875810 116663502 141516019 150501080 155551336 194439170 225751620 233327004 283032038 291658755 388878340 424548057 451503240 466654008 566064076 583317510 707580095 777756680 849096114 1132128152 1166635020 1415160190 1698192228 2122740285 2333270040 2830320380 3396384456 4245480570 5660640760 8490961140 16981922280 101750017661 203500035322 305250052983 407000070644 508750088305 610500105966 814000141288 1017500176610 1221000211932 1526250264915 2035000353220 2442000423864 3052500529830 4070000706440 6105001059660 12210002119320