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12232231033000 = 2353111178994327
BaseRepresentation
bin1011001000000000100111…
…0010010001100010101000
31121022101112012201220120211
42302000021302101202220
53100403102121024000
642003224231030504
72401515042144526
oct262001162214250
947271465656524
1012232231033000
113996729585160
12145683150b434
136a965737c704
14304086543316
151632c5cba7ba
hexb2009c918a8

12232231033000 has 128 divisors (see below), whose sum is σ = 31228529529600. Its totient is φ = 4447659552000.

The previous prime is 12232231032991. The next prime is 12232231033027. The reversal of 12232231033000 is 33013223221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129631837 + ... + 129726163.

It is an arithmetic number, because the mean of its divisors is an integer number (243972886950).

Almost surely, 212232231033000 is an apocalyptic number.

12232231033000 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 12232231033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614264764800).

12232231033000 is an abundant number, since it is smaller than the sum of its proper divisors (18996298496600).

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

12232231033000 is a wasteful number, since it uses less digits than its factorization.

12232231033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106148 (or 106134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12232231033000 its reverse (33013223221), we get a palindrome (12265244256221).

The spelling of 12232231033000 in words is "twelve trillion, two hundred thirty-two billion, two hundred thirty-one million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 11789 23578 47156 58945 94312 94327 117890 129679 188654 235780 259358 294725 377308 471560 471635 518716 589450 648395 754616 943270 1037432 1037597 1178900 1296790 1473625 1886540 2075194 2357800 2358175 2593580 2947250 3241975 3773080 4150388 4716350 5187160 5187985 5894500 6483950 8300776 9432700 10375970 11789000 11790875 12967900 16209875 18865400 20751940 23581750 25935800 25939925 32419750 41503880 47163500 51879850 64839500 94327000 103759700 129679000 129699625 207519400 259399250 518798500 1037597000 1112021003 2224042006 4448084012 5560105015 8896168024 11120210030 12232231033 22240420060 24464462066 27800525075 44480840120 48928924132 55601050150 61161155165 97857848264 111202100300 122322310330 139002625375 222404200600 244644620660 278005250750 305805775825 489289241320 556010501500 611611551650 1112021003000 1223223103300 1529028879125 2446446206600 3058057758250 6116115516500 12232231033000