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12031320021000 = 233537572920001
BaseRepresentation
bin1010111100010100001010…
…0011100101100000001000
31120121011221101020000120020
42233011002203211200020
53034110120411133000
641331040114500440
72351143216546050
oct257050243454010
946534841200506
1012031320021000
1139194aa550185
121423900894720
136937193ac7a7
142d846747a560
1515ce67891ba0
hexaf1428e5808

12031320021000 has 128 divisors (see below), whose sum is σ = 42900249749760. Its totient is φ = 2750016000000.

The previous prime is 12031320020969. The next prime is 12031320021059. The reversal of 12031320021000 is 12002313021.

It is a super-2 number, since 2×120313200210002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 286439001 + ... + 286481000.

It is an arithmetic number, because the mean of its divisors is an integer number (335158201170).

Almost surely, 212031320021000 is an apocalyptic number.

12031320021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031320021000 is an abundant number, since it is smaller than the sum of its proper divisors (30868929728760).

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

12031320021000 is a wasteful number, since it uses less digits than its factorization.

12031320021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572920032 (or 572920018 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12031320021000 its reverse (12002313021), we get a palindrome (12043322334021).

The spelling of 12031320021000 in words is "twelve trillion, thirty-one billion, three hundred twenty million, 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 572920001 1145840002 1718760003 2291680004 2864600005 3437520006 4010440007 4583360008 5729200010 6875040012 8020880014 8593800015 11458400020 12031320021 13750080024 14323000025 16041760028 17187600030 20052200035 22916800040 24062640042 28646000050 32083520056 34375200060 40104400070 42969000075 48125280084 57292000100 60156600105 68750400120 71615000125 80208800140 85938000150 96250560168 100261000175 114584000200 120313200210 143230000250 160417600280 171876000300 200522000350 214845000375 240626400420 286460000500 300783000525 343752000600 401044000700 429690000750 481252800840 501305000875 572920001000 601566001050 802088001400 859380001500 1002610001750 1203132002100 1503915002625 1718760003000 2005220003500 2406264004200 3007830005250 4010440007000 6015660010500 12031320021000