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12123012024 = 2332318596323
BaseRepresentation
bin10110100101001011…
…00111101110111000
31011021212120211010100
423102211213232320
5144311442341044
65322542115400
7606263621244
oct132245475670
934255524110
1012123012024
115161140402
122423b7bb60
1311b27a46c6
148300bd424
154ae46d869
hex2d2967bb8

12123012024 has 96 divisors (see below), whose sum is σ = 33937113600. Its totient is φ = 3905478720.

The previous prime is 12123012019. The next prime is 12123012029. The reversal of 12123012024 is 42021032121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12123012019) and next prime (12123012029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12123011988 and 12123012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123012029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1914127 + ... + 1920449.

It is an arithmetic number, because the mean of its divisors is an integer number (353511600).

Almost surely, 212123012024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968556800).

12123012024 is an abundant number, since it is smaller than the sum of its proper divisors (21814101576).

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

12123012024 is a wasteful number, since it uses less digits than its factorization.

12123012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12123012024 its reverse (42021032121), we get a palindrome (54144044145).

The spelling of 12123012024 in words is "twelve billion, one hundred twenty-three million, twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 859 1116 1718 2232 2577 3436 5154 6323 6872 7731 10308 12646 15462 18969 20616 25292 26629 30924 37938 50584 53258 56907 61848 75876 79887 106516 113814 151752 159774 196013 213032 227628 239661 319548 392026 455256 479322 588039 639096 784052 958644 1176078 1568104 1764117 1917288 2352156 3528234 4704312 5431457 7056468 10862914 14112936 16294371 21725828 32588742 43451656 48883113 65177484 97766226 130354968 168375167 195532452 336750334 391064904 505125501 673500668 1010251002 1347001336 1515376503 2020502004 3030753006 4041004008 6061506012 12123012024