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12012210122120 = 23513149155036269
BaseRepresentation
bin1010111011001100111110…
…0001000110110110001000
31120112100121120120120111122
42232303033201012312020
53033302001242401440
641314155543214412
72346565523232125
oct256631741066610
946470546516448
1012012210122120
11391139350231a
121420068a47408
13691992243a10
142d757349574c
1515c6e9d497b5
hexaeccf846d88

12012210122120 has 64 divisors (see below), whose sum is σ = 29301855030000. Its totient is φ = 4405510591488.

The previous prime is 12012210122111. The next prime is 12012210122149. The reversal of 12012210122120 is 2122101221021.

12012210122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4313505302404 + 7698704819716 = 2076898^2 + 2774654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77440655 + ... + 77595614.

Almost surely, 212012210122120 is an apocalyptic number.

12012210122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012210122120 is an abundant number, since it is smaller than the sum of its proper divisors (17289644907880).

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

12012210122120 is a wasteful number, since it uses less digits than its factorization.

12012210122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155036442 (or 155036438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12012210122120 its reverse (2122101221021), we get a palindrome (14134311343141).

The spelling of 12012210122120 in words is "twelve trillion, twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 260 298 520 596 745 1192 1490 1937 2980 3874 5960 7748 9685 15496 19370 38740 77480 155036269 310072538 620145076 775181345 1240290152 1550362690 2015471497 3100725380 4030942994 6201450760 8061885988 10077357485 16123771976 20154714970 23100404081 40309429940 46200808162 80618859880 92401616324 115502020405 184803232648 231004040810 300305253053 462008081620 600610506106 924016163240 1201221012212 1501526265265 2402442024424 3003052530530 6006105061060 12012210122120