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12020089000000 = 265634672
BaseRepresentation
bin1010111011101010010100…
…1000101001000001000000
31120120002221200002001002111
42232322211020221001000
53033414120241000000
641321541435025104
72350265003465434
oct256724510510100
946502850061074
1012020089000000
113914766971944
1214216a759b194
13692649659233
142d7abda309c4
1515ca0b8bbcba
hexaeea5229040

12020089000000 has 147 divisors (see below), whose sum is σ = 29823675654409. Its totient is φ = 4806648800000.

The previous prime is 12020088999979. The next prime is 12020089000019. The reversal of 12020089000000 is 98002021.

The square root of 12020089000000 is 3467000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 10530751892544 + 1489337107456 = 3245112^2 + 1220384^2 .

It is a Duffinian 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 20 ways as a sum of consecutive naturals, for example, 3466998267 + ... + 3467001733.

Almost surely, 212020089000000 is an apocalyptic number.

12020089000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12020089000000 is the 3467000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020089000000

12020089000000 is an abundant number, since it is smaller than the sum of its proper divisors (17803586654409).

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

12020089000000 is an frugal number, since it uses more digits than its factorization.

12020089000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12020089000000 in words is "twelve trillion, twenty billion, eighty-nine million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 3467 4000 5000 6250 6934 8000 10000 12500 13868 15625 17335 20000 25000 27736 31250 34670 40000 50000 55472 62500 69340 86675 100000 110944 125000 138680 173350 200000 221888 250000 277360 346700 433375 500000 554720 693400 866750 1000000 1109440 1386800 1733500 2166875 2773600 3467000 4333750 5547200 6934000 8667500 10834375 12020089 13868000 17335000 21668750 24040178 27736000 34670000 43337500 48080356 54171875 60100445 69340000 86675000 96160712 108343750 120200890 138680000 173350000 192321424 216687500 240401780 300502225 346700000 384642848 433375000 480803560 601004450 693400000 769285696 866750000 961607120 1202008900 1502511125 1733500000 1923214240 2404017800 3005022250 3467000000 3846428480 4808035600 6010044500 7512555625 9616071200 12020089000 15025111250 19232142400 24040178000 30050222500 37562778125 48080356000 60100445000 75125556250 96160712000 120200890000 150251112500 187813890625 240401780000 300502225000 375627781250 480803560000 601004450000 751255562500 1202008900000 1502511125000 2404017800000 3005022250000 6010044500000 12020089000000