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12211000100200 = 23521121926557199
BaseRepresentation
bin1011000110110001100001…
…0100101100010101101000
31121020100201120222202222101
42301230120110230111220
53100031112011201300
641545353410303144
72400133652200336
oct261543024542550
947210646882871
1012211000100200
113988724242100
1214526a7287ab4
136a765296cb95
14303030998b56
15162981e53b6a
hexb1b1852c568

12211000100200 has 144 divisors (see below), whose sum is σ = 32848600680000. Its totient is φ = 4206660163200.

The previous prime is 12211000100177. The next prime is 12211000100323. The reversal of 12211000100200 is 200100011221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12818800 + ... + 13738399.

It is an arithmetic number, because the mean of its divisors is an integer number (228115282500).

Almost surely, 212211000100200 is an apocalyptic number.

12211000100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211000100200 is an abundant number, since it is smaller than the sum of its proper divisors (20637600579800).

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

12211000100200 is a wasteful number, since it uses less digits than its factorization.

12211000100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26557256 (or 26557236 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12211000100200 its reverse (200100011221), we get a palindrome (12411100111421).

The spelling of 12211000100200 in words is "twelve trillion, two hundred eleven billion, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 121 152 190 200 209 220 242 275 380 418 440 475 484 550 605 760 836 950 968 1045 1100 1210 1672 1900 2090 2200 2299 2420 3025 3800 4180 4598 4840 5225 6050 8360 9196 10450 11495 12100 18392 20900 22990 24200 41800 45980 57475 91960 114950 229900 459800 26557199 53114398 106228796 132785995 212457592 265571990 292129189 504586781 531143980 584258378 663929975 1009173562 1062287960 1168516756 1327859950 1460645945 2018347124 2337033512 2522933905 2655719900 2921291890 3213421079 4036694248 5045867810 5311439800 5550454591 5842583780 6426842158 7303229725 10091735620 11100909182 11685167560 12614669525 12853684316 14606459450 16067105395 20183471240 22201818364 25229339050 25707368632 27752272955 29212918900 32134210790 44403636728 50458678100 55504545910 58425837800 61055000501 64268421580 80335526975 100917356200 111009091820 122110001002 128536843160 138761364775 160671053950 222018183640 244220002004 277522729550 305275002505 321342107900 488440004008 555045459100 610550005010 642684215800 1110090918200 1221100010020 1526375012525 2442200020040 3052750025050 6105500050100 12211000100200