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12122321112 = 23331124491033
BaseRepresentation
bin10110100101000101…
…11111000011011000
31011021211021201101000
423102202333003120
5144311303233422
65322515225000
7606255013026
oct132242770330
934254251330
1012122321112
115160809300
1224238a8160
1311b25c2095
1482dd7d716
154ae383cac
hex2d28bf0d8

12122321112 has 192 divisors, whose sum is σ = 37130940000. Its totient is φ = 3661701120.

The previous prime is 12122321041. The next prime is 12122321153. The reversal of 12122321112 is 21112322121.

12122321112 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 (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11734548 + ... + 11735580.

Almost surely, 212122321112 is an apocalyptic number.

12122321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565470000).

12122321112 is an abundant number, since it is smaller than the sum of its proper divisors (25008618888).

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

12122321112 is a wasteful number, since it uses less digits than its factorization.

12122321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1498 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12122321112 its reverse (21112322121), we get a palindrome (33234643233).

The spelling of 12122321112 in words is "twelve billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred twelve".