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12069129436 = 22721331473251
BaseRepresentation
bin10110011110110000…
…00100110011011100
31011011010012022002221
423033120010303130
5144204144120221
65313335155124
7605040623200
oct131730046334
934133168087
1012069129436
115133788641
122409b15aa4
1311a458a010
14826c94b00
154a9878541
hex2cf604cdc

12069129436 has 144 divisors (see below), whose sum is σ = 27902472192. Its totient is φ = 4520880000.

The previous prime is 12069129407. The next prime is 12069129509. The reversal of 12069129436 is 63492196021.

12069129436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12069129392 and 12069129401.

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 47 ways as a sum of consecutive naturals, for example, 3710811 + ... + 3714061.

It is an arithmetic number, because the mean of its divisors is an integer number (193767168).

Almost surely, 212069129436 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 12069129436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951236096).

12069129436 is an abundant number, since it is smaller than the sum of its proper divisors (15833342756).

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

12069129436 is a wasteful number, since it uses less digits than its factorization.

12069129436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 12069129436 in words is "twelve billion, sixty-nine million, one hundred twenty-nine thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 31 47 49 52 62 91 94 98 124 182 188 196 217 329 364 403 434 611 637 658 806 868 1222 1274 1316 1457 1519 1612 2303 2444 2548 2821 2914 3038 3251 4277 4606 5642 5828 6076 6502 8554 9212 10199 11284 13004 17108 18941 19747 20398 22757 29939 37882 39494 40796 42263 45514 59878 71393 75764 78988 84526 91028 100781 119756 132587 142786 152797 159299 169052 201562 265174 285572 295841 305594 318598 403124 530348 591682 611188 637196 705467 928109 1069579 1183364 1310153 1410934 1856218 1986361 2070887 2139158 2620306 2821868 3712436 3972722 4141774 4278316 4736707 4938269 5240612 7487053 7945444 8283548 9171071 9473414 9876538 13904527 14974106 18342142 18946828 19753076 27809054 29948212 33156949 36684284 55618108 61577191 64197497 66313898 97331689 123154382 128394994 132627796 194663378 232098643 246308764 256789988 389326756 431040337 464197286 862080674 928394572 1724161348 3017282359 6034564718 12069129436