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12010172832 = 253372283687
BaseRepresentation
bin10110010111101110…
…01011000110100000
31011000000020222212000
423023313023012200
5144044101012312
65303431404000
7603423533100
oct131367130640
934000228760
1012010172832
11510347a679
1223b2223600
1311952b6c58
1481d109200
154a45ceadc
hex2cbdcb1a0

12010172832 has 144 divisors (see below), whose sum is σ = 40748944320. Its totient is φ = 3431465856.

The previous prime is 12010172813. The next prime is 12010172849. The reversal of 12010172832 is 23827101021.

12010172832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12010172796 and 12010172805.

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 23 ways as a sum of consecutive naturals, for example, 99508 + ... + 184179.

It is an arithmetic number, because the mean of its divisors is an integer number (282978780).

Almost surely, 212010172832 is an apocalyptic number.

12010172832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010172832 is an abundant number, since it is smaller than the sum of its proper divisors (28738771488).

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

12010172832 is a wasteful number, since it uses less digits than its factorization.

12010172832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283720 (or 283699 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 12010172832 its reverse (23827101021), we get a palindrome (35837273853).

The spelling of 12010172832 in words is "twelve billion, ten million, one hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 283687 567374 851061 1134748 1702122 1985809 2269496 2553183 3404244 3971618 4538992 5106366 5957427 6808488 7659549 7943236 9077984 10212732 11914854 13616976 13900663 15319098 15886472 17872281 20425464 23829708 27233952 27801326 30638196 31772944 35744562 40850928 41701989 47659416 53616843 55602652 61276392 63545888 71489124 81701856 83403978 95318832 107233686 111205304 122552784 125105967 142978248 166807956 190637664 214467372 222410608 245105568 250211934 285956496 333615912 375317901 428934744 444821216 500423868 571912992 667231824 750635802 857869488 1000847736 1334463648 1501271604 1715738976 2001695472 3002543208 4003390944 6005086416 12010172832