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12112111120 = 2451996611151
BaseRepresentation
bin10110100011111000…
…00010011000010000
31011021010001222220011
423101330002120100
5144301200023440
65321512324304
7606102150214
oct132174023020
934233058804
1012112111120
115155a7539a
1224203a3694
1311b0458a75
1482c882944
154ad5189ea
hex2d1f02610

12112111120 has 80 divisors (see below), whose sum is σ = 28369612800. Its totient is φ = 4809024000.

The previous prime is 12112110943. The next prime is 12112111133. The reversal of 12112111120 is 2111121121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12112111120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10522545 + ... + 10523695.

It is an arithmetic number, because the mean of its divisors is an integer number (354620160).

Almost surely, 212112111120 is an apocalyptic number.

12112111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112111120 is an abundant number, since it is smaller than the sum of its proper divisors (16257501680).

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

12112111120 is a wasteful number, since it uses less digits than its factorization.

12112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12112111120 its reverse (2111121121), we get a palindrome (14223232241).

The spelling of 12112111120 in words is "twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 199 398 661 796 995 1151 1322 1592 1990 2302 2644 3184 3305 3980 4604 5288 5755 6610 7960 9208 10576 11510 13220 15920 18416 23020 26440 46040 52880 92080 131539 229049 263078 458098 526156 657695 760811 916196 1052312 1145245 1315390 1521622 1832392 2104624 2290490 2630780 3043244 3664784 3804055 4580980 5261560 6086488 7608110 9161960 10523120 12172976 15216220 18323920 30432440 60864880 151401389 302802778 605605556 757006945 1211211112 1514013890 2422422224 3028027780 6056055560 12112111120