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12112321120 = 255471610681
BaseRepresentation
bin10110100011111001…
…10101101001100000
31011021010110122221221
423101330311221200
5144301223233440
65321521024424
7606104013364
oct132174655140
934233418857
1012112321120
1151560a9149
122420485114
1311b0500523
1482c8d92a4
154ad55ad4a
hex2d1f35a60

12112321120 has 48 divisors (see below), whose sum is σ = 29224214208. Its totient is φ = 4741841920.

The previous prime is 12112321103. The next prime is 12112321127. The reversal of 12112321120 is 2112321121.

12112321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12112321094 and 12112321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112321127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797821 + ... + 812860.

It is an arithmetic number, because the mean of its divisors is an integer number (608837796).

Almost surely, 212112321120 is an apocalyptic number.

12112321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112321120 is an abundant number, since it is smaller than the sum of its proper divisors (17111893088).

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

12112321120 is a wasteful number, since it uses less digits than its factorization.

12112321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610743 (or 1610735 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12112321120 its reverse (2112321121), we get a palindrome (14224642241).

Subtracting from 12112321120 its reverse (2112321121), we obtain a palindrome (9999999999).

The spelling of 12112321120 in words is "twelve billion, one hundred twelve million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 1610681 3221362 6442724 8053405 12885448 16106810 25770896 32213620 51541792 64427240 75702007 128854480 151404014 257708960 302808028 378510035 605616056 757020070 1211232112 1514040140 2422464224 3028080280 6056160560 12112321120