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12200122125 = 335367163331
BaseRepresentation
bin10110101110010111…
…10001011100001101
31011111020200102022000
423113023301130031
5144441212402000
65334334542513
7611221220112
oct132713613415
934436612260
1012200122125
1151a0718364
122445967a39
1311c5762599
1483a432909
154b6101000
hex2d72f170d

12200122125 has 128 divisors (see below), whose sum is σ = 23103375360. Its totient is φ = 6351048000.

The previous prime is 12200122117. The next prime is 12200122127. The reversal of 12200122125 is 52122100221.

It is not a de Polignac number, because 12200122125 - 23 = 12200122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200122098 and 12200122107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200122127) 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 127 ways as a sum of consecutive naturals, for example, 36858210 + ... + 36858540.

It is an arithmetic number, because the mean of its divisors is an integer number (180495120).

Almost surely, 212200122125 is an apocalyptic number.

12200122125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12200122125 is a deficient number, since it is larger than the sum of its proper divisors (10903253235).

12200122125 is a wasteful number, since it uses less digits than its factorization.

12200122125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12200122125 its reverse (52122100221), we get a palindrome (64322222346).

The spelling of 12200122125 in words is "twelve billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 67 75 125 135 163 201 225 331 335 375 489 603 675 815 993 1005 1125 1467 1655 1675 1809 2445 2979 3015 3375 4075 4401 4965 5025 7335 8275 8375 8937 9045 10921 12225 14895 15075 20375 22005 22177 24825 25125 32763 36675 41375 44685 45225 53953 54605 61125 66531 74475 75375 98289 110025 110885 124125 161859 163815 183375 199593 223425 226125 269765 273025 294867 332655 372375 485577 491445 550125 554425 598779 809295 819075 997965 1117125 1348825 1365125 1456731 1474335 1663275 2427885 2457225 2772125 2993895 3614851 4046475 4095375 4989825 6744125 7283655 7371675 8316375 10844553 12139425 12286125 14969475 18074255 20232375 24949125 32533659 36418275 36858375 54222765 60697125 74847375 90371275 97600977 162668295 182091375 271113825 451856375 488004885 813341475 1355569125 2440024425 4066707375 12200122125