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12122446688 = 251134438769
BaseRepresentation
bin10110100101000110…
…11101101101100000
31011021211112002121222
423102203131231200
5144311321243223
65322522034212
7606256045112
oct132243355540
934254462558
1012122446688
115160894690
122423948968
1311b26372a1
1482ddb33b2
154ae3ab0c8
hex2d28ddb60

12122446688 has 24 divisors (see below), whose sum is σ = 26035710120. Its totient is φ = 5510202880.

The previous prime is 12122446619. The next prime is 12122446703. The reversal of 12122446688 is 88664422121.

12122446688 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 (44).

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 3 ways as a sum of consecutive naturals, for example, 17219033 + ... + 17219736.

It is an arithmetic number, because the mean of its divisors is an integer number (1084821255).

Almost surely, 212122446688 is an apocalyptic number.

It is an amenable number.

12122446688 is an abundant number, since it is smaller than the sum of its proper divisors (13913263432).

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

12122446688 is a wasteful number, since it uses less digits than its factorization.

12122446688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34438790 (or 34438782 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The spelling of 12122446688 in words is "twelve billion, one hundred twenty-two million, four hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 34438769 68877538 137755076 275510152 378826459 551020304 757652918 1102040608 1515305836 3030611672 6061223344 12122446688