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12123303312 = 2432345724029
BaseRepresentation
bin10110100101001101…
…01110110110010000
31011021220010121200210
423102212232312100
5144312031201222
65322552244120
7606266243421
oct132246566620
934256117623
1012123303312
11516131a23a
1224240a0640
1311b2877173
14830157648
154ae4c9d0c
hex2d29aed90

12123303312 has 80 divisors (see below), whose sum is σ = 32753082240. Its totient is φ = 3856782336.

The previous prime is 12123303293. The next prime is 12123303317. The reversal of 12123303312 is 21330332121.

12123303312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12123303317) 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 15 ways as a sum of consecutive naturals, for example, 492514 + ... + 516542.

It is an arithmetic number, because the mean of its divisors is an integer number (409413528).

Almost surely, 212123303312 is an apocalyptic number.

12123303312 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 12123303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376541120).

12123303312 is an abundant number, since it is smaller than the sum of its proper divisors (20629778928).

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

12123303312 is a wasteful number, since it uses less digits than its factorization.

12123303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24520 (or 24514 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12123303312 its reverse (21330332121), we get a palindrome (33453635433).

The spelling of 12123303312 in words is "twelve billion, one hundred twenty-three million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 457 552 914 1104 1371 1828 2742 3656 5484 7312 10511 10968 21022 21936 24029 31533 42044 48058 63066 72087 84088 96116 126132 144174 168176 192232 252264 288348 384464 504528 552667 576696 1105334 1153392 1658001 2210668 3316002 4421336 6632004 8842672 10981253 13264008 21962506 26528016 32943759 43925012 65887518 87850024 131775036 175700048 252568819 263550072 505137638 527100144 757706457 1010275276 1515412914 2020550552 3030825828 4041101104 6061651656 12123303312