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12052155500532 = 22327149327198129
BaseRepresentation
bin1010111101100001110001…
…1100101000011111110100
31120200011201102212001021100
42233120130130220133310
53034430303302004112
641344403411250100
72352511435316250
oct257303434503764
946604642761240
1012052155500532
113927321643354
1214279565a9930
13695689bb03c4
142d94826c5260
1515d786b422dc
hexaf61c7287f4

12052155500532 has 144 divisors (see below), whose sum is σ = 35062084512000. Its totient is φ = 3419281935360.

The previous prime is 12052155500467. The next prime is 12052155500551. The reversal of 12052155500532 is 23500555125021.

12052155500532 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 21 + 55 + 50 + 0 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122770444 + ... + 122868572.

It is an arithmetic number, because the mean of its divisors is an integer number (243486698000).

Almost surely, 212052155500532 is an apocalyptic number.

12052155500532 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 12052155500532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17531042256000).

12052155500532 is an abundant number, since it is smaller than the sum of its proper divisors (23009929011468).

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

12052155500532 is a wasteful number, since it uses less digits than its factorization.

12052155500532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101566 (or 101561 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 12052155500532 in words is "twelve trillion, fifty-two billion, one hundred fifty-five million, five hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 2086 2682 3129 3271 4172 5364 6258 6542 9387 9813 12516 13084 18774 19626 22897 29439 37548 39252 45794 58878 68691 91588 98129 117756 137382 196258 206073 274764 294387 392516 412146 487379 588774 686903 824292 883161 974758 1177548 1373806 1462137 1766322 1949516 2060709 2747612 2924274 3411653 3532644 4121418 4386411 5848548 6182127 6823306 8242836 8772822 10234959 12364254 13646612 14621221 17545644 20469918 24728508 29242442 30704877 40939836 43863663 58484884 61409754 87727326 102348547 122819508 131590989 175454652 204697094 263181978 307045641 320979959 409394188 526363956 614091282 641959918 921136923 962939877 1228182564 1283919836 1842273846 1925879754 2246859713 2888819631 3684547692 3851759508 4493719426 5777639262 6740579139 8987438852 11555278524 13481158278 20221737417 26962316556 40443474834 47826013891 80886949668 95652027782 143478041673 191304055564 286956083346 334782097237 430434125019 573912166692 669564194474 860868250038 1004346291711 1339128388948 1721736500076 2008692583422 3013038875133 4017385166844 6026077750266 12052155500532