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12122102202122 = 2115359316755639
BaseRepresentation
bin1011000001100110010110…
…0110000111111100001010
31120220212021010220122110202
42300121211212013330022
53042102031130431442
641440452240012202
72360535664423043
oct260314546077412
946825233818422
1012122102202122
113953a55741550
121439417601062
1369c156286223
142dc9da1c58ca
151604cc725c32
hexb0665987f0a

12122102202122 has 64 divisors (see below), whose sum is σ = 20559843532800. Its totient is φ = 5312681225280.

The previous prime is 12122102202101. The next prime is 12122102202127. The reversal of 12122102202122 is 22120220122121.

It is a super-3 number, since 3×121221022021223 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122102202094 and 12122102202103.

It is not an unprimeable number, because it can be changed into a prime (12122102202127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217842779 + ... + 217898417.

It is an arithmetic number, because the mean of its divisors is an integer number (321247555200).

Almost surely, 212122102202122 is an apocalyptic number.

12122102202122 is a deficient number, since it is larger than the sum of its proper divisors (8437741330678).

12122102202122 is a wasteful number, since it uses less digits than its factorization.

12122102202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58931.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12122102202122 its reverse (22120220122121), we get a palindrome (34242322324243).

The spelling of 12122102202122 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 53 59 106 118 583 649 1166 1298 3127 3167 6254 6334 34397 34837 55639 68794 69674 111278 167851 186853 335702 373706 612029 1224058 1846361 2055383 2948867 3282701 3692722 4110766 5897734 6565402 9903209 19806418 32437537 36109711 64875074 72219422 108935299 173983153 176208713 217870598 347966306 352417426 1913814683 1938295843 3827629366 3876591686 9339061789 10396314067 18678123578 20792628134 102729679679 114359454737 205459359358 228718909474 551004645551 1102009291102 6061051101061 12122102202122