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12123003204 = 22321371397919
BaseRepresentation
bin10110100101001011…
…00101100101000100
31011021212120101000200
423102211211211010
5144311442100304
65322542010500
7606263553444
oct132245454504
934255511020
1012123003204
115161134814
122423b76a30
1311b27a06a0
148300ba124
154ae46ae39
hex2d2965944

12123003204 has 144 divisors (see below), whose sum is σ = 33587124480. Its totient is φ = 3664362240.

The previous prime is 12123003203. The next prime is 12123003227. The reversal of 12123003204 is 40230032121.

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

It is not an unprimeable number, because it can be changed into a prime (12123003203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13191057 + ... + 13191975.

It is an arithmetic number, because the mean of its divisors is an integer number (233243920).

Almost surely, 212123003204 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 12123003204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793562240).

12123003204 is an abundant number, since it is smaller than the sum of its proper divisors (21464121276).

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

12123003204 is a wasteful number, since it uses less digits than its factorization.

12123003204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12123003204 its reverse (40230032121), we get a palindrome (52353035325).

The spelling of 12123003204 in words is "twelve billion, one hundred twenty-three million, three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 397 426 468 639 794 852 919 923 1191 1278 1588 1838 1846 2382 2556 2757 2769 3573 3676 3692 4764 5161 5514 5538 7146 8271 8307 10322 11028 11076 11947 14292 15483 16542 16614 20644 23894 28187 30966 33084 33228 35841 46449 47788 56374 61932 65249 71682 84561 92898 107523 112748 130498 143364 169122 185796 195747 215046 253683 260996 338244 364843 366431 391494 430092 507366 587241 729686 732862 782988 848237 1014732 1094529 1099293 1174482 1459372 1465724 1696474 2189058 2198586 2348964 2544711 3283587 3297879 3392948 4378116 4397172 4742959 5089422 6567174 6595758 7634133 9485918 10178844 13134348 13191516 14228877 15268266 18971836 25903853 28457754 30536532 42686631 51807706 56915508 77711559 85373262 103615412 155423118 170746524 233134677 310846236 336750089 466269354 673500178 932538708 1010250267 1347000356 2020500534 3030750801 4041001068 6061501602 12123003204