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12122123131220 = 22561113167526531
BaseRepresentation
bin1011000001100110011011…
…0101111101100101010100
31120220212022121021221210112
42300121212311331211110
53042102102010144340
641440454304342152
72360536340341604
oct260314665754524
946825277257715
1012122123131220
113953a66536923
121439422614958
1369c15a7034cb
142dc9dccb2c04
151604ce4ac065
hexb0666d7d954

12122123131220 has 96 divisors (see below), whose sum is σ = 26259102809856. Its totient is φ = 4698837964800.

The previous prime is 12122123131207. The next prime is 12122123131249. The reversal of 12122123131220 is 2213132122121.

It is a congruent number.

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, 22759355 + ... + 23285885.

It is an arithmetic number, because the mean of its divisors is an integer number (273532320936).

Almost surely, 212122123131220 is an apocalyptic number.

12122123131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122123131220 is an abundant number, since it is smaller than the sum of its proper divisors (14136979678636).

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

12122123131220 is a wasteful number, since it uses less digits than its factorization.

12122123131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526881 (or 526879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 12122123131220 its reverse (2213132122121), we get a palindrome (14335255253341).

The spelling of 12122123131220 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 113 122 167 226 244 305 334 452 565 610 668 835 1130 1220 1670 2260 3340 6893 10187 13786 18871 20374 27572 34465 37742 40748 50935 68930 75484 94355 101870 137860 188710 203740 377420 526531 1053062 1151131 2106124 2302262 2632655 4604524 5265310 5755655 10530620 11511310 23022620 32118391 59498003 64236782 87930677 118996006 128473564 160591955 175861354 237992012 297490015 321183910 351722708 439653385 594980030 642367820 879306770 1189960060 1758613540 3629378183 5363771297 7258756366 9936166501 10727542594 14517512732 18146890915 19872333002 21455085188 26818856485 36293781830 39744666004 49680832505 53637712970 72587563660 99361665010 107275425940 198723330020 606106156561 1212212313122 2424424626244 3030530782805 6061061565610 12122123131220