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12122120112 = 2432339107971
BaseRepresentation
bin10110100101000100…
…01101111110110000
31011021210220111122120
423102202031332300
5144311230320422
65322511034240
7606253215024
oct132242157660
934253814576
1012122120112
115160691293
12242380b980
1311b255174b
1482dd2a384
154ae34445c
hex2d288dfb0

12122120112 has 40 divisors (see below), whose sum is σ = 31329155520. Its totient is φ = 4038941760.

The previous prime is 12122120111. The next prime is 12122120159. The reversal of 12122120112 is 21102122121.

12122120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12122120091 and 12122120100.

It is not an unprimeable number, because it can be changed into a prime (12122120111) 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, 58287 + ... + 166257.

It is an arithmetic number, because the mean of its divisors is an integer number (783228888).

Almost surely, 212122120112 is an apocalyptic number.

12122120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122120112 is an abundant number, since it is smaller than the sum of its proper divisors (19207035408).

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

12122120112 is a wasteful number, since it uses less digits than its factorization.

12122120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110321 (or 110315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122120112 its reverse (21102122121), we get a palindrome (33224242233).

The spelling of 12122120112 in words is "twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2339 4678 7017 9356 14034 18712 28068 37424 56136 107971 112272 215942 323913 431884 647826 863768 1295652 1727536 2591304 5182608 252544169 505088338 757632507 1010176676 1515265014 2020353352 3030530028 4040706704 6061060056 12122120112