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12011222000 = 245311353147
BaseRepresentation
bin10110010111110110…
…01011001111110000
31011000002020022001002
423023323023033300
5144044333101000
65303510101132
7603435462641
oct131373131760
934002208032
1012011222000
115104026958
1223b264a7a8
13119559366b
1481d2dd6c8
154a473a8d5
hex2cbecb3f0

12011222000 has 80 divisors (see below), whose sum is σ = 29300704992. Its totient is φ = 4761881600.

The previous prime is 12011221969. The next prime is 12011222063. The reversal of 12011222000 is 22211021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199427 + ... + 252573.

Almost surely, 212011222000 is an apocalyptic number.

12011222000 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 12011222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650352496).

12011222000 is an abundant number, since it is smaller than the sum of its proper divisors (17289482992).

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

12011222000 is a wasteful number, since it uses less digits than its factorization.

12011222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53283 (or 53267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12011222000 its reverse (22211021), we get a palindrome (12033433021).

The spelling of 12011222000 in words is "twelve billion, eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5650 9040 11300 14125 22600 28250 45200 53147 56500 106294 113000 212588 226000 265735 425176 531470 850352 1062940 1328675 2125880 2657350 4251760 5314700 6005611 6643375 10629400 12011222 13286750 21258800 24022444 26573500 30028055 48044888 53147000 60056110 96089776 106294000 120112220 150140275 240224440 300280550 480448880 600561100 750701375 1201122200 1501402750 2402244400 3002805500 6005611000 12011222000