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12123022044 = 22371372574099
BaseRepresentation
bin10110100101001011…
…01010001011011100
31011021212121022212110
423102211222023130
5144311443201134
65322542234020
7606263662410
oct132245521334
934255538773
1012123022044
115161147991
122423b85910
1311b27a9133
148300c2d40
154ae4717e9
hex2d296a2dc

12123022044 has 96 divisors (see below), whose sum is σ = 32698713600. Its totient is φ = 3424223232.

The previous prime is 12123022039. The next prime is 12123022103. The reversal of 12123022044 is 44022032121.

12123022044 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12123022044.

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 31 ways as a sum of consecutive naturals, for example, 2955507 + ... + 2959605.

It is an arithmetic number, because the mean of its divisors is an integer number (340611600).

Almost surely, 212123022044 is an apocalyptic number.

12123022044 is a gapful number since it is divisible by the number (14) 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 12123022044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349356800).

12123022044 is an abundant number, since it is smaller than the sum of its proper divisors (20575691556).

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

12123022044 is a wasteful number, since it uses less digits than its factorization.

12123022044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12123022044 its reverse (44022032121), we get a palindrome (56145054165).

The spelling of 12123022044 in words is "twelve billion, one hundred twenty-three million, twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 257 274 411 514 548 771 822 959 1028 1542 1644 1799 1918 2877 3084 3598 3836 4099 5397 5754 7196 8198 10794 11508 12297 16396 21588 24594 28693 35209 49188 57386 70418 86079 105627 114772 140836 172158 211254 246463 344316 422508 492926 561563 739389 985852 1053443 1123126 1478778 1684689 2106886 2246252 2957556 3160329 3369378 3930941 4213772 6320658 6738756 7374101 7861882 11792823 12641316 14748202 15723764 22122303 23585646 29496404 44244606 47171292 88489212 144321691 288643382 432965073 577286764 865930146 1010251837 1731860292 2020503674 3030755511 4041007348 6061511022 12123022044