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2002022112000 = 2835320854397
BaseRepresentation
bin11101001000100001110…
…100010001101100000000
321002101120100210210011010
4131020201310101230000
5230300120130041000
64131414413520520
7264432655113231
oct35104164215400
97071510723133
102002022112000
11702064320529
122840091a3140
13116a36481251
146cc81263088
15371257abd50
hex1d221d11b00

2002022112000 has 144 divisors (see below), whose sum is σ = 6649716763872. Its totient is φ = 533872537600.

The previous prime is 2002022111987. The next prime is 2002022112001. The reversal of 2002022112000 is 2112202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2002022112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10331199 + ... + 10523198.

It is an arithmetic number, because the mean of its divisors is an integer number (46178588638).

Almost surely, 22002022112000 is an apocalyptic number.

2002022112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002022112000 is an abundant number, since it is smaller than the sum of its proper divisors (4647694651872).

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

2002022112000 is an equidigital number, since it uses as much as digits as its factorization.

2002022112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20854431 (or 20854407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002022112000 its reverse (2112202002), we get a palindrome (2004134314002).

The spelling of 2002022112000 in words is "two trillion, two billion, twenty-two million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 20854397 41708794 62563191 83417588 104271985 125126382 166835176 208543970 250252764 312815955 333670352 417087940 500505528 521359925 625631910 667340704 834175880 1001011056 1042719850 1251263820 1334681408 1564079775 1668351760 2002022112 2085439700 2502527640 2606799625 2669362816 3128159550 3336703520 4004044224 4170879400 5005055280 5213599250 5338725632 6256319100 6673407040 7820398875 8008088448 8341758800 10010110560 10427198500 12512638200 13346814080 15640797750 16016176896 16683517600 20020221120 20854397000 25025276400 26693628160 31281595500 33367035200 40040442240 41708794000 50050552800 62563191000 66734070400 80080884480 83417588000 100101105600 125126382000 133468140800 166835176000 200202211200 250252764000 333670352000 400404422400 500505528000 667340704000 1001011056000 2002022112000