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12110211120 = 2435717424027
BaseRepresentation
bin10110100011101001…
…10010100000110000
31011020222111110120210
423101310302200300
5144300203223440
65321403504120
7606050044650
oct132164624060
934228443523
1012110211120
115154997947
12241b828040
1311acc41cc7
1482c50a360
154ad290a80
hex2d1d32830

12110211120 has 160 divisors (see below), whose sum is σ = 45428663808. Its totient is φ = 2605215744.

The previous prime is 12110211109. The next prime is 12110211121. The reversal of 12110211120 is 2111201121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12110211096 and 12110211105.

It is not an unprimeable number, because it can be changed into a prime (12110211121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183454 + ... + 240573.

Almost surely, 212110211120 is an apocalyptic number.

12110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110211120 is an abundant number, since it is smaller than the sum of its proper divisors (33318452688).

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

12110211120 is a wasteful number, since it uses less digits than its factorization.

12110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424067 (or 424061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12110211120 its reverse (2111201121), we get a palindrome (14221412241).

Subtracting from 12110211120 its reverse (2111201121), we obtain a palindrome (9999009999).

The spelling of 12110211120 in words is "twelve billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 424027 848054 1272081 1696108 2120135 2544162 2968189 3392216 4240270 5088324 5936378 6360405 6784432 7208459 8480540 8904567 10176648 11872756 12720810 14416918 14840945 16961080 17809134 20353296 21625377 23745512 25441620 28833836 29681890 33922160 35618268 36042295 43250754 44522835 47491024 50459213 50883240 57667672 59363780 71236536 72084590 86501508 89045670 100918426 101766480 108126885 115335344 118727560 142473072 144169180 151377639 173003016 178091340 201836852 216253770 237455120 252296065 288338360 302755278 346006032 356182680 403673704 432507540 504592130 576676720 605510556 712365360 756888195 807347408 865015080 1009184260 1211021112 1513776390 1730030160 2018368520 2422042224 3027552780 4036737040 6055105560 12110211120