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12100323211020 = 223251137165169577
BaseRepresentation
bin1011000000010101001101…
…1101110111011100001100
31120211210001022220021012200
42300011103131313130030
53041222430220223040
641422451200401500
72356135201152132
oct260052335673414
946753038807180
1012100323211020
113945799aa8150
121435159916290
1369a095165c45
142db931935752
1515eb55701630
hexb015377770c

12100323211020 has 144 divisors (see below), whose sum is σ = 41123260852128. Its totient is φ = 2854130273280.

The previous prime is 12100323210959. The next prime is 12100323211033. The reversal of 12100323211020 is 2011232300121.

12100323211020 is a `hidden beast` number, since 1 + 210 + 0 + 32 + 321 + 102 + 0 = 666.

12100323211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121003232110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12100323210984 and 12100323211002.

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, 82511529 + ... + 82658048.

It is an arithmetic number, because the mean of its divisors is an integer number (285578200362).

Almost surely, 212100323211020 is an apocalyptic number.

12100323211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100323211020 is an abundant number, since it is smaller than the sum of its proper divisors (29022937641108).

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

12100323211020 is a wasteful number, since it uses less digits than its factorization.

12100323211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165169640 (or 165169635 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12100323211020 its reverse (2011232300121), we get a palindrome (14111555511141).

The spelling of 12100323211020 in words is "twelve trillion, one hundred billion, three hundred twenty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 165169577 330339154 495508731 660678308 825847885 991017462 1486526193 1651695770 1816865347 1982034924 2477543655 2973052386 3303391540 3633730694 4955087310 5450596041 5946104772 6111274349 7267461388 7432630965 9084326735 9910174620 10901192082 12222548698 14865261930 16351788123 18168653470 18333823047 21802384164 24445097396 27252980205 29730523860 30556371745 32703576246 36337306940 36667646094 54505960410 55001469141 61112743490 65407152492 67224017839 73335292188 81758940615 91669115235 109011920820 110002938282 122225486980 134448035678 163517881230 183338230470 201672053517 220005876564 268896071356 275007345705 327035762460 336120089195 366676460940 403344107034 550014691410 605016160551 672240178390 806688214068 1008360267585 1100029382820 1210032321102 1344480356780 2016720535170 2420064642204 3025080802755 4033441070340 6050161605510 12100323211020