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12028821000 = 233537572801
BaseRepresentation
bin10110011001111100…
…10011111000001000
31011001022100102022220
423030332103320020
5144113334233000
65305335214040
7604041201660
oct131476237010
934038312286
1012028821000
115112a57289
1223b8517320
131199115c81
148217a11a0
154a60651a0
hex2ccf93e08

12028821000 has 128 divisors (see below), whose sum is σ = 42891413760. Its totient is φ = 2749440000.

The previous prime is 12028820983. The next prime is 12028821031. The reversal of 12028821000 is 12882021.

12028821000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 265401 + ... + 307400.

It is an arithmetic number, because the mean of its divisors is an integer number (335089170).

Almost surely, 212028821000 is an apocalyptic number.

12028821000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12028821000 is an abundant number, since it is smaller than the sum of its proper divisors (30862592760).

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

12028821000 is a wasteful number, since it uses less digits than its factorization.

12028821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572832 (or 572818 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 12028821000 in words is "twelve billion, twenty-eight million, eight hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 572801 1145602 1718403 2291204 2864005 3436806 4009607 4582408 5728010 6873612 8019214 8592015 11456020 12028821 13747224 14320025 16038428 17184030 20048035 22912040 24057642 28640050 32076856 34368060 40096070 42960075 48115284 57280100 60144105 68736120 71600125 80192140 85920150 96230568 100240175 114560200 120288210 143200250 160384280 171840300 200480350 214800375 240576420 286400500 300720525 343680600 400960700 429600750 481152840 501200875 572801000 601441050 801921400 859201500 1002401750 1202882100 1503602625 1718403000 2004803500 2405764200 3007205250 4009607000 6014410500 12028821000