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12112101120 = 28357450599
BaseRepresentation
bin10110100011110111…
…11111111100000000
31011021010001111011210
423101323333330000
5144301144213440
65321512210120
7606102106110
oct132173777400
934233044153
1012112101120
115155a68929
122420399940
1311b0454352
1482c87d040
154ad515a80
hex2d1efff00

12112101120 has 144 divisors (see below), whose sum is σ = 44209267200. Its totient is φ = 2768474112.

The previous prime is 12112101101. The next prime is 12112101179. The reversal of 12112101120 is 2110121121.

It is a super-2 number, since 2×121121011202 (a number of 21 digits) contains 22 as substring.

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 = 12112101096 and 12112101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198420 + ... + 252179.

It is an arithmetic number, because the mean of its divisors is an integer number (307008800).

Almost surely, 212112101120 is an apocalyptic number.

12112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112101120 is an abundant number, since it is smaller than the sum of its proper divisors (32097166080).

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

12112101120 is an equidigital number, since it uses as much as digits as its factorization.

12112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450630 (or 450616 counting only the distinct ones).

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

Adding to 12112101120 its reverse (2110121121), we get a palindrome (14222222241).

The spelling of 12112101120 in words is "twelve billion, one hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 450599 901198 1351797 1802396 2252995 2703594 3154193 3604792 4505990 5407188 6308386 6758985 7209584 9011980 9462579 10814376 12616772 13517970 14419168 15770965 18023960 18925158 21628752 25233544 27035940 28838336 31541930 36047920 37850316 43257504 47312895 50467088 54071880 57676672 63083860 72095840 75700632 86515008 94625790 100934176 108143760 115353344 126167720 144191680 151401264 173030016 189251580 201868352 216287520 252335440 288383360 302802528 346060032 378503160 403736704 432575040 504670880 576766720 605605056 757006320 807473408 865150080 1009341760 1211210112 1514012640 1730300160 2018683520 2422420224 3028025280 4037367040 6056050560 12112101120