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12001130032000 = 27532113354979
BaseRepresentation
bin1010111010100011101100…
…0101111010101110000000
31120111022000101102200021111
42232220323011322232000
53033111303242011000
641305124254333104
72346024122066314
oct256507305725600
946438011380244
1012001130032000
11390771804164a
121419a961ba194
13690917856c85
142d6c01ad7b44
1515c29c239cba
hexaea3b17ab80

12001130032000 has 128 divisors (see below), whose sum is σ = 29852014701600. Its totient is φ = 4798166630400.

The previous prime is 12001130031997. The next prime is 12001130032043. The reversal of 12001130032000 is 23003110021.

12001130032000 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33630511 + ... + 33985489.

Almost surely, 212001130032000 is an apocalyptic number.

12001130032000 is a gapful number since it is divisible by the number (10) 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 12001130032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926007350800).

12001130032000 is an abundant number, since it is smaller than the sum of its proper divisors (17850884669600).

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

12001130032000 is an equidigital number, since it uses as much as digits as its factorization.

12001130032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357121 (or 357099 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12001130032000 its reverse (23003110021), we get a palindrome (12024133142021).

The spelling of 12001130032000 in words is "twelve trillion, one billion, one hundred thirty million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 2113 3200 4000 4226 8000 8452 10565 16000 16904 21130 33808 42260 52825 67616 84520 105650 135232 169040 211300 264125 270464 338080 354979 422600 528250 676160 709958 845200 1056500 1352320 1419916 1690400 1774895 2113000 2839832 3380800 3549790 4226000 5679664 6761600 7099580 8452000 8874475 11359328 14199160 16904000 17748950 22718656 28398320 33808000 35497900 44372375 45437312 56796640 70995800 88744750 113593280 141991600 177489500 227186560 283983200 354979000 567966400 709958000 750070627 1135932800 1419916000 1500141254 2839832000 3000282508 3750353135 5679664000 6000565016 7500706270 12001130032 15001412540 18751765675 24002260064 30002825080 37503531350 48004520128 60005650160 75007062700 93758828375 96009040256 120011300320 150014125400 187517656750 240022600640 300028250800 375035313500 480045201280 600056501600 750070627000 1200113003200 1500141254000 2400226006400 3000282508000 6000565016000 12001130032000