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12001222101000 = 2335311363673397
BaseRepresentation
bin1010111010100100000010…
…0101001000100000001000
31120111022020210200021012110
42232221000211020200020
53033112000324213000
641305141343542320
72346026320500126
oct256510045104010
946438223607173
1012001222101000
113907765006430
121419b00bba9a0
13690930951882
142d6c10022916
1515c2a5374850
hexaea40948808

12001222101000 has 128 divisors (see below), whose sum is σ = 40847796063360. Its totient is φ = 2909387168000.

The previous prime is 12001222100947. The next prime is 12001222101067. The reversal of 12001222101000 is 10122210021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181803699 + ... + 181869698.

It is an arithmetic number, because the mean of its divisors is an integer number (319123406745).

Almost surely, 212001222101000 is an apocalyptic number.

12001222101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222101000 is an abundant number, since it is smaller than the sum of its proper divisors (28846573962360).

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

12001222101000 is a wasteful number, since it uses less digits than its factorization.

12001222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363673432 (or 363673418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001222101000 its reverse (10122210021), we get a palindrome (12011344311021).

The spelling of 12001222101000 in words is "twelve trillion, one billion, two hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 363673397 727346794 1091020191 1454693588 1818366985 2182040382 2909387176 3636733970 4000407367 4364080764 5455100955 7273467940 8000814734 8728161528 9091834925 10910201910 12001222101 14546935880 16001629468 18183669850 20002036835 21820403820 24002444202 27275504775 32003258936 36367339700 40004073670 43640807640 45459174625 48004888404 54551009550 60006110505 72734679400 80008147340 90918349250 96009776808 100010184175 109102019100 120012221010 136377523875 160016294680 181836698500 200020368350 218204038200 240024442020 272755047750 300030552525 363673397000 400040736700 480048884040 500050920875 545510095500 600061105050 800081473400 1000101841750 1091020191000 1200122210100 1500152762625 2000203683500 2400244420200 3000305525250 4000407367000 6000611050500 12001222101000