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12020101212100 = 22521947791703843
BaseRepresentation
bin1010111011101010010111…
…0111001110011111000100
31120120002222112001110221111
42232322211313032133010
53033414131402241400
641321542552454404
72350265212340302
oct256724567163704
946502875043844
1012020101212100
113914772852a93
1214216ab6aa404
1369264c043927
142d7ac14cd272
1515ca0c9d03ba
hexaeea5dce7c4

12020101212100 has 144 divisors (see below), whose sum is σ = 28395582566400. Its totient is φ = 4401637269120.

The previous prime is 12020101212079. The next prime is 12020101212143. The reversal of 12020101212100 is 121210102021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6202779 + ... + 7906621.

It is an arithmetic number, because the mean of its divisors is an integer number (197191545600).

Almost surely, 212020101212100 is an apocalyptic number.

12020101212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020101212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197791283200).

12020101212100 is an abundant number, since it is smaller than the sum of its proper divisors (16375481354300).

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

12020101212100 is a wasteful number, since it uses less digits than its factorization.

12020101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704002 (or 1703995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12020101212100 its reverse (121210102021), we get a palindrome (12141311314121).

The spelling of 12020101212100 in words is "twelve trillion, twenty billion, one hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 79 94 95 100 158 188 190 235 316 380 395 470 475 790 893 940 950 1175 1501 1580 1786 1900 1975 2350 3002 3572 3713 3950 4465 4700 6004 7426 7505 7900 8930 14852 15010 17860 18565 22325 30020 37130 37525 44650 70547 74260 75050 89300 92825 141094 150100 185650 282188 352735 371300 705470 1410940 1703843 1763675 3407686 3527350 6815372 7054700 8519215 17038430 32373017 34076860 42596075 64746034 80080621 85192150 129492068 134603597 160161242 161865085 170384300 269207194 320322484 323730170 400403105 538414388 647460340 673017985 800806210 809325425 1346035970 1521531799 1601612420 1618650850 2002015525 2557468343 2692071940 3043063598 3237301700 3365089925 4004031050 5114936686 6086127196 6326369059 6730179850 7607658995 8008062100 10229873372 12652738118 12787341715 13460359700 15215317990 25305476236 25574683430 30430635980 31631845295 38038294975 51149366860 63263690590 63936708575 76076589950 120201012121 126527381180 127873417150 152153179900 158159226475 240402024242 255746834300 316318452950 480804048484 601005060605 632636905900 1202010121210 2404020242420 3005025303025 6010050606050 12020101212100