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12000202010200 = 2352479823152203
BaseRepresentation
bin1010111010100000001111…
…0001110010111001011000
31120111012121201012021200201
42232220003301302321120
53033102403203311300
641304452223511544
72345662123041355
oct256500361627130
946435551167621
1012000202010200
113907291210088
1214198774585b4
136907ca4cbb51
142d6b5476562c
1515c245a2566a
hexaea03c72e58

12000202010200 has 96 divisors (see below), whose sum is σ = 27992872627200. Its totient is φ = 4784208082560.

The previous prime is 12000202010129. The next prime is 12000202010219. The reversal of 12000202010200 is 201020200021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78767299 + ... + 78919501.

It is an arithmetic number, because the mean of its divisors is an integer number (291592423200).

Almost surely, 212000202010200 is an apocalyptic number.

12000202010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000202010200 is an abundant number, since it is smaller than the sum of its proper divisors (15992670617000).

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

12000202010200 is a wasteful number, since it uses less digits than its factorization.

12000202010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153521 (or 153512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000202010200 its reverse (201020200021), we get a palindrome (12201222210221).

The spelling of 12000202010200 in words is "twelve trillion, two hundred two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 479 823 958 1646 1916 2395 3292 3832 4115 4790 6584 8230 9580 11975 16460 19160 20575 23950 32920 41150 47900 82300 95800 152203 164600 304406 394217 608812 761015 788434 1217624 1522030 1576868 1971085 3044060 3153736 3805075 3942170 6088120 7610150 7884340 9855425 15220300 15768680 19710850 30440600 39421700 72905237 78843400 125263069 145810474 250526138 291620948 364526185 501052276 583241896 626315345 729052370 1002104552 1252630690 1458104740 1822630925 2505261380 2916209480 3131576725 3645261850 5010522760 6263153450 7290523700 12526306900 14581047400 25052613800 60001010051 120002020102 240004040204 300005050255 480008080408 600010100510 1200020201020 1500025251275 2400040402040 3000050502550 6000101005100 12000202010200