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12122202211110 = 2325192715255009
BaseRepresentation
bin1011000001100110101110…
…0011101000001100100110
31120220212112010002122000100
42300121223203220030212
53042102232231223420
641440510211324530
72360541320453325
oct260315343501446
946825463078010
1012122202211110
113953aa7139802
121439444bb0746
1369c170c00b44
142dca095ba0bc
151604d63cd190
hexb066b8e8326

12122202211110 has 144 divisors (see below), whose sum is σ = 33732371630880. Its totient is φ = 3019317396480.

The previous prime is 12122202210983. The next prime is 12122202211123. The reversal of 12122202211110 is 1111220222121.

12122202211110 is a `hidden beast` number, since 1 + 212 + 220 + 221 + 1 + 1 + 10 = 666.

It is a super-4 number, since 4×121222022111104 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320715 + ... + 4934294.

It is an arithmetic number, because the mean of its divisors is an integer number (234252580770).

Almost surely, 212122202211110 is an apocalyptic number.

12122202211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122202211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866185815440).

12122202211110 is an abundant number, since it is smaller than the sum of its proper divisors (21610169419770).

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

12122202211110 is a wasteful number, since it uses less digits than its factorization.

12122202211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255131 (or 5255109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122202211110 its reverse (1111220222121), we get a palindrome (13233422433231).

The spelling of 12122202211110 in words is "twelve trillion, one hundred twenty-two billion, two hundred two million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 71 90 95 114 142 171 190 213 285 342 355 361 426 570 639 710 722 855 1065 1083 1278 1349 1710 1805 2130 2166 2698 3195 3249 3610 4047 5415 6390 6498 6745 8094 10830 12141 13490 16245 20235 24282 25631 32490 40470 51262 60705 76893 121410 128155 153786 230679 256310 384465 461358 768930 1153395 2306790 5255009 10510018 15765027 26275045 31530054 47295081 52550090 78825135 94590162 99845171 157650270 199690342 236475405 299535513 373105639 472950810 499225855 599071026 746211278 898606539 998451710 1119316917 1497677565 1797213078 1865528195 1897058249 2238633834 2995355130 3357950751 3731056390 3794116498 4493032695 5596584585 5691174747 6715901502 7089007141 8986065390 9485291245 11193169170 11382349494 14178014282 16789753755 17073524241 18970582490 21267021423 28455873735 33579507510 34147048482 35445035705 42534042846 56911747470 63801064269 70890071410 85367621205 106335107115 127602128538 134691135679 170735242410 212670214230 269382271358 319005321345 404073407037 638010642690 673455678395 808146814074 1212220221111 1346911356790 2020367035185 2424440442222 4040734070370 6061101105555 12122202211110