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12122111000010 = 23511316411848607
BaseRepresentation
bin1011000001100110011000…
…0111101011110111001010
31120220212021202110121220110
42300121212013223313022
53042102040404000020
641440453152335150
72360536132254624
oct260314607536712
946825252417813
1012122111000010
113953a5a700530
12143941a5444b6
1369c15804688b
142dc9db435c14
151604cd3b28e0
hexb06661ebdca

12122111000010 has 128 divisors (see below), whose sum is σ = 32812821577728. Its totient is φ = 2839458816000.

The previous prime is 12122111000003. The next prime is 12122111000059. The reversal of 12122111000010 is 1000011122121.

It is a self number, because there is not a number n which added to its sum of digits gives 12122111000010.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5633127 + ... + 7481733.

It is an arithmetic number, because the mean of its divisors is an integer number (256350168576).

Almost surely, 212122111000010 is an apocalyptic number.

12122111000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122111000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406410788864).

12122111000010 is an abundant number, since it is smaller than the sum of its proper divisors (20690710577718).

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

12122111000010 is a wasteful number, since it uses less digits than its factorization.

12122111000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849300.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12122111000010 its reverse (1000011122121), we get a palindrome (13122122122131).

The spelling of 12122111000010 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 641 682 930 1023 1282 1705 1923 2046 3205 3410 3846 5115 6410 7051 9615 10230 14102 19230 19871 21153 35255 39742 42306 59613 70510 99355 105765 119226 198710 211530 218581 298065 437162 596130 655743 1092905 1311486 1848607 2185810 3278715 3697214 5545821 6557430 9243035 11091642 18486070 20334677 27729105 40669354 55458210 57306817 61004031 101673385 114613634 122008062 171920451 203346770 286534085 305020155 343840902 573068170 610040310 630374987 859602255 1184957087 1260749974 1719204510 1891124961 2369914174 3151874935 3554871261 3782249922 5924785435 6303749870 7109742522 9455624805 11849570870 13034527957 17774356305 18911249610 26069055914 35548712610 36733669697 39103583871 65172639785 73467339394 78207167742 110201009091 130345279570 183668348485 195517919355 220402018182 367336696970 391035838710 404070366667 551005045455 808140733334 1102010090910 1212211100001 2020351833335 2424422200002 4040703666670 6061055500005 12122111000010