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12122110112 = 257287918797
BaseRepresentation
bin10110100101000100…
…01011100010100000
31011021210212222221012
423102202023202200
5144311230010422
65322510520052
7606253143620
oct132242134240
934253788835
1012122110112
115160684822
122423806028
1311b254a028
1482dd26880
154ae3414e2
hex2d288b8a0

12122110112 has 48 divisors (see below), whose sum is σ = 27285672960. Its totient is φ = 5193109248.

The previous prime is 12122110069. The next prime is 12122110123. The reversal of 12122110112 is 21101122121.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 7 ways as a sum of consecutive naturals, for example, 635498 + ... + 654294.

It is an arithmetic number, because the mean of its divisors is an integer number (568451520).

Almost surely, 212122110112 is an apocalyptic number.

It is an amenable number.

12122110112 is an abundant number, since it is smaller than the sum of its proper divisors (15163562848).

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

12122110112 is a wasteful number, since it uses less digits than its factorization.

12122110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21693 (or 21685 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12122110112 its reverse (21101122121), we get a palindrome (33223232233).

The spelling of 12122110112 in words is "twelve billion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2879 5758 11516 18797 20153 23032 37594 40306 46064 75188 80612 92128 131579 150376 161224 263158 300752 322448 526316 601504 644896 1052632 2105264 4210528 54116563 108233126 216466252 378815941 432932504 757631882 865865008 1515263764 1731730016 3030527528 6061055056 12122110112