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12002222000 = 24537382207
BaseRepresentation
bin10110010110110001…
…10101111110110000
31010222110022001100202
423023120311332300
5144040032101000
65302545134332
7603266126606
oct131330657660
933873261322
1012002222000
1150a9a3a03a
1223ab62a3a8
131193762012
1481c039876
154a3a5ddd5
hex2cb635fb0

12002222000 has 80 divisors (see below), whose sum is σ = 29419283712. Its totient is φ = 4735065600.

The previous prime is 12002221999. The next prime is 12002222009. The reversal of 12002222000 is 22220021.

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 (12002222009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104897 + ... + 187103.

Almost surely, 212002222000 is an apocalyptic number.

12002222000 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 12002222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14709641856).

12002222000 is an abundant number, since it is smaller than the sum of its proper divisors (17417061712).

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

12002222000 is an equidigital number, since it uses as much as digits as its factorization.

12002222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82303 (or 82287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12002222000 its reverse (22220021), we get a palindrome (12024442021).

The spelling of 12002222000 in words is "twelve billion, two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 82207 146000 164414 328828 411035 657656 822070 1315312 1644140 2055175 3288280 4110350 6001111 6576560 8220700 10275875 12002222 16441400 20551750 24004444 30005555 32882800 41103500 48008888 60011110 82207000 96017776 120022220 150027775 164414000 240044440 300055550 480088880 600111100 750138875 1200222200 1500277750 2400444400 3000555500 6001111000 12002222000