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120012202220001 = 37133773457356141
BaseRepresentation
bin11011010010011010000100…
…101011101001100111100001
3120201221001110201102000222120
4123102122010223221213201
5111212234442232020001
61103124502232454453
734164411151302450
oct3322320453514741
9521831421360876
10120012202220001
113526a986494753
121156320384a429
1351c71434450b0
14218c89b88ab97
15dd1bd5a1d236
hex6d2684ae99e1

120012202220001 has 128 divisors (see below), whose sum is σ = 205485888039936. Its totient is φ = 60615415480320.

The previous prime is 120012202219999. The next prime is 120012202220021. The reversal of 120012202220001 is 100022202210021.

It is not a de Polignac number, because 120012202220001 - 21 = 120012202219999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120012202220021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 336801391 + ... + 337157531.

It is an arithmetic number, because the mean of its divisors is an integer number (1605358500312).

Almost surely, 2120012202220001 is an apocalyptic number.

It is an amenable number.

120012202220001 is a deficient number, since it is larger than the sum of its proper divisors (85473685819935).

120012202220001 is a wasteful number, since it uses less digits than its factorization.

120012202220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356731.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120012202220001 its reverse (100022202210021), we get a palindrome (220034404430022).

The spelling of 120012202220001 in words is "one hundred twenty trillion, twelve billion, two hundred two million, two hundred twenty thousand, one".

Divisors: 1 3 7 13 21 37 39 73 91 111 219 259 273 457 481 511 777 949 1371 1443 1533 2701 2847 3199 3367 5941 6643 8103 9597 10101 16909 17823 18907 19929 33361 35113 41587 50727 56721 100083 105339 118363 124761 219817 233527 245791 355089 356141 433693 659451 700581 737373 1068423 1234357 1301079 1538719 2492987 3035851 3703071 4616157 4629833 7478961 8640499 9107553 13177217 13889499 16046641 25921497 25998293 32408831 39531651 48139923 77994879 92240519 97226493 112326487 162756437 171303821 181988051 276721557 336979461 337977809 488269311 513911463 545964153 961936841 1013933427 1139295059 1199126747 2115833681 2365844663 2885810523 3417885177 3597380241 6021988169 6347501043 6733557887 7097533989 11881219901 12505178933 14810835767 18065964507 20200673661 35643659703 37515536799 42153917183 44432507301 78285846197 83168539307 87536252531 126461751549 154455858713 234857538591 249505617921 262608757593 439605136337 463367576139 548000923379 1081191010991 1318815409011 1644002770137 3077235954359 3243573032973 5714866772381 9231707863077 17144600317143 40004067406667 120012202220001