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12101000202200 = 2352721394984303
BaseRepresentation
bin1011000000010111101111…
…0100011000011111011000
31120211211210111202222112002
42300011323310120133120
53041230322022432300
641423042302540132
72356161031403300
oct260057364303730
946754714688462
1012101000202200
113946007161698
121435308597648
1369a1724aa540
142db997800600
1515eb94d7b5d5
hexb017bd187d8

12101000202200 has 144 divisors (see below), whose sum is σ = 35245825685280. Its totient is φ = 3829767056640.

The previous prime is 12101000202167. The next prime is 12101000202227. The reversal of 12101000202200 is 220200010121.

It is a happy number.

12101000202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47364752 + ... + 47619551.

It is an arithmetic number, because the mean of its divisors is an integer number (244762678370).

Almost surely, 212101000202200 is an apocalyptic number.

12101000202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101000202200 is an abundant number, since it is smaller than the sum of its proper divisors (23144825483080).

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

12101000202200 is a wasteful number, since it uses less digits than its factorization.

12101000202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94984346 (or 94984330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12101000202200 its reverse (220200010121), we get a palindrome (12321200212321).

The spelling of 12101000202200 in words is "twelve trillion, one hundred one billion, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 3185 3640 4550 4900 5096 6370 9100 9800 12740 15925 18200 25480 31850 63700 127400 94984303 189968606 379937212 474921515 664890121 759874424 949843030 1234795939 1329780242 1899686060 2374607575 2469591878 2659560484 3324450605 3799372120 4654230847 4749215150 4939183756 5319120968 6173979695 6648901210 8643571573 9308461694 9498430300 9878367512 12347959390 13297802420 16622253025 17287143146 18616923388 18996860600 23271154235 24695918780 26595604840 30869898475 33244506050 34574286292 37233846776 43217857865 46542308470 49391837560 60505001011 61739796950 66489012100 69148572584 86435715730 93084616940 116355771175 121010002022 123479593900 132978024200 172871431460 186169233880 216089289325 232711542350 242020004044 246959187800 302525005055 345742862920 432178578650 465423084700 484040008088 605050010110 864357157300 930846169400 1210100020220 1512625025275 1728714314600 2420200040440 3025250050550 6050500101100 12101000202200