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12100220220 = 22351121798041
BaseRepresentation
bin10110100010011101…
…01011010100111100
31011020021200212122110
423101032223110330
5144240124021340
65320405414020
7605566113654
oct132116532474
934207625573
1012100220220
11514a293600
12241840a310
1311aab5462a
1482b069364
154ac46a680
hex2d13ab53c

12100220220 has 144 divisors (see below), whose sum is σ = 39431708064. Its totient is φ = 2760806400.

The previous prime is 12100220219. The next prime is 12100220221. The reversal of 12100220220 is 2202200121.

It is an interprime number because it is at equal distance from previous prime (12100220219) and next prime (12100220221).

It is a Harshad number since it is a multiple of its sum of digits (12).

12100220220 is a modest number, since divided by 220220 gives 12100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12100220196 and 12100220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100220221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74400 + ... + 172440.

It is an arithmetic number, because the mean of its divisors is an integer number (273831306).

Almost surely, 212100220220 is an apocalyptic number.

12100220220 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 12100220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715854032).

12100220220 is an abundant number, since it is smaller than the sum of its proper divisors (27331487844).

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

12100220220 is a wasteful number, since it uses less digits than its factorization.

12100220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98092 (or 98079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12100220220 its reverse (2202200121), we get a palindrome (14302420341).

The spelling of 12100220220 in words is "twelve billion, one hundred million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 98041 123420 196082 294123 392164 490205 588246 980410 1078451 1176492 1470615 1666697 1960820 2156902 2941230 3235353 3333394 4313804 5000091 5392255 5882460 6470706 6666788 8333485 10000182 10784510 11862961 12941412 16176765 16666970 18333667 20000364 21569020 23725922 25000455 32353530 33333940 35588883 36667334 47451844 50000910 55001001 59314805 64707060 71177766 73334668 91668335 100001820 110002002 118629610 142355532 177944415 183336670 201670337 220004004 237259220 275005005 355888830 366673340 403340674 550010010 605011011 711777660 806681348 1008351685 1100020020 1210022022 2016703370 2420044044 3025055055 4033406740 6050110110 12100220220