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12102011010200 = 2352178939993427
BaseRepresentation
bin1011000000011011100000…
…0100010011110010011000
31120211221101221210100102102
42300012320010103302120
53041234404304311300
641423330452022532
72356225054210346
oct260067004236230
946757357710372
1012102011010200
113946485797701
12143554b001a48
1369a2a3a2cc97
142dba51b62996
1515ec039950d5
hexb01b8113c98

12102011010200 has 96 divisors (see below), whose sum is σ = 30127049312400. Its totient is φ = 4504859504640.

The previous prime is 12102011010169. The next prime is 12102011010211. The reversal of 12102011010200 is 201011020121.

It is a super-3 number, since 3×121020110102003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19694114 + ... + 20299313.

Almost surely, 212102011010200 is an apocalyptic number.

12102011010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102011010200 is an abundant number, since it is smaller than the sum of its proper divisors (18025038302200).

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

12102011010200 is a wasteful number, since it uses less digits than its factorization.

12102011010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39993549 (or 39993540 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12102011010200 its reverse (201011020121), we get a palindrome (12303022030321).

The spelling of 12102011010200 in words is "twelve trillion, one hundred two billion, eleven million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 89 100 136 170 178 200 340 356 425 445 680 712 850 890 1513 1700 1780 2225 3026 3400 3560 4450 6052 7565 8900 12104 15130 17800 30260 37825 60520 75650 151300 302600 39993427 79986854 159973708 199967135 319947416 399934270 679888259 799868540 999835675 1359776518 1599737080 1999671350 2719553036 3399441295 3559415003 3999342700 5439106072 6798882590 7118830006 7998685400 13597765180 14237660012 16997206475 17797075015 27195530360 28475320024 33994412950 35594150030 60510055051 67988825900 71188300060 88985375075 121020110102 135977651800 142376600120 177970750150 242040220204 302550275255 355941500300 484080440408 605100550510 711883000600 1210201101020 1512751376275 2420402202040 3025502752550 6051005505100 12102011010200