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12002022222000 = 243536732972269
BaseRepresentation
bin1010111010100111000001…
…0001010110100010110000
31120111101022120020121212120
42232221300101112202300
53033120120142101000
641305353005154240
72346055204426326
oct256516021264260
946441276217776
1012002022222000
11390803571a158
12141a0a4b5b980
13690a2a647855
142d6c883bdd16
1515c3007226a0
hexaea704568b0

12002022222000 has 160 divisors (see below), whose sum is σ = 38752028253120. Its totient is φ = 3195782553600.

The previous prime is 12002022221993. The next prime is 12002022222037. The reversal of 12002022222000 is 22222020021.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2551866 + ... + 5524134.

It is an arithmetic number, because the mean of its divisors is an integer number (242200176582).

Almost surely, 212002022222000 is an apocalyptic number.

12002022222000 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 12002022222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19376014126560).

12002022222000 is an abundant number, since it is smaller than the sum of its proper divisors (26750006031120).

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

12002022222000 is a wasteful number, since it uses less digits than its factorization.

12002022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972968 (or 2972952 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12002022222000 its reverse (22222020021), we get a palindrome (12024244242021).

The spelling of 12002022222000 in words is "twelve trillion, two billion, twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 673 750 1000 1200 1346 1500 2000 2019 2692 3000 3365 4038 5384 6000 6730 8076 10095 10768 13460 16152 16825 20190 26920 32304 33650 40380 50475 53840 67300 80760 84125 100950 134600 161520 168250 201900 252375 269200 336500 403800 504750 673000 807600 1009500 1346000 2019000 2972269 4038000 5944538 8916807 11889076 14861345 17833614 23778152 29722690 35667228 44584035 47556304 59445380 71334456 74306725 89168070 118890760 142668912 148613450 178336140 222920175 237781520 297226900 356672280 371533625 445840350 594453800 713344560 743067250 891680700 1114600875 1188907600 1486134500 1783361400 2000337037 2229201750 2972269000 3566722800 4000674074 4458403500 5944538000 6001011111 8001348148 8916807000 10001685185 12002022222 16002696296 17833614000 20003370370 24004044444 30005055555 32005392592 40006740740 48008088888 50008425925 60010111110 80013481480 96016177776 100016851850 120020222220 150025277775 160026962960 200033703700 240040444440 250042129625 300050555550 400067407400 480080888880 500084259250 600101111100 750126388875 800134814800 1000168518500 1200202222200 1500252777750 2000337037000 2400404444400 3000505555500 4000674074000 6001011111000 12002022222000