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12122200333130 = 2573157388927197
BaseRepresentation
bin1011000001100110101101…
…1100011101101101001010
31120220212111222120012220112
42300121223130131231022
53042102231241130010
641440510103154322
72360541265502216
oct260315334355512
946825458505815
1012122200333130
113953aa6076858
1214394444459a2
1369c1706c4104
142dca0924b946
151604d615ba05
hexb066b71db4a

12122200333130 has 64 divisors (see below), whose sum is σ = 22266291100320. Its totient is φ = 4750599020544.

The previous prime is 12122200333097. The next prime is 12122200333151. The reversal of 12122200333130 is 3133300222121.

It can be written as a sum of positive squares in 16 ways, for example, as 1773246446689 + 10348953886441 = 1331633^2 + 3216979^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12122200333096 and 12122200333105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445704692 + ... + 445731888.

Almost surely, 212122200333130 is an apocalyptic number.

12122200333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122200333130 is a deficient number, since it is larger than the sum of its proper divisors (10144090767190).

12122200333130 is a wasteful number, since it uses less digits than its factorization.

12122200333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31323.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12122200333130 its reverse (3133300222121), we get a palindrome (15255500555251).

The spelling of 12122200333130 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 73 146 157 314 365 730 785 1570 3889 7778 11461 19445 22922 27197 38890 54394 57305 114610 135985 271970 283897 567794 610573 1221146 1419485 1985381 2838970 3052865 3970762 4269929 6105730 8539858 9926905 19853810 21349645 42699290 44571829 89143658 105769133 211538266 222859145 311704817 445718290 528845665 623409634 1057691330 1558524085 3117048170 7721146709 15442293418 16605753881 33211507762 38605733545 77211467090 83028769405 166057538810 1212220033313 2424440066626 6061100166565 12122200333130