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12122212222000 = 245329209003659
BaseRepresentation
bin1011000001100110110000…
…1001110100010000110000
31120220212112210221020101001
42300121230021310100300
53042102242312101000
641440511210051344
72360541501526516
oct260315411642060
946825483836331
1012122212222000
113954001857071
121439448419b54
1369c172cc764a
142dca0aa644b6
151604d720946a
hexb066c274430

12122212222000 has 80 divisors (see below), whose sum is σ = 30322250992800. Its totient is φ = 4681681939200.

The previous prime is 12122212221947. The next prime is 12122212222007. The reversal of 12122212222000 is 22221222121.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12122212222007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104443830 + ... + 104559829.

It is an arithmetic number, because the mean of its divisors is an integer number (379028137410).

Almost surely, 212122212222000 is an apocalyptic number.

12122212222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122212222000 is an abundant number, since it is smaller than the sum of its proper divisors (18200038770800).

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

12122212222000 is a wasteful number, since it uses less digits than its factorization.

12122212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209003711 (or 209003695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12122212222000 its reverse (22221222121), we get a palindrome (12144433444121).

The spelling of 12122212222000 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 209003659 418007318 836014636 1045018295 1672029272 2090036590 3344058544 4180073180 5225091475 6061106111 8360146360 10450182950 12122212222 16720292720 20900365900 24244424444 26125457375 30305530555 41800731800 48488848888 52250914750 60611061110 83601463600 96977697776 104501829500 121222122220 151527652775 209003659000 242444244440 303055305550 418007318000 484888488880 606110611100 757638263875 1212221222200 1515276527750 2424442444400 3030553055500 6061106111000 12122212222000