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12112220012000 = 255328310699841
BaseRepresentation
bin1011000001000001100010…
…0100100011110111100000
31120212220202102211101010012
42300100120210203313200
53041421311310341000
641432135502224052
72360036050251113
oct260203044436740
946786672741105
1012112220012000
11394a844482879
121437519b85028
1369b23cb06b54
142dc33d96c57a
151600eed89735
hexb0418923de0

12112220012000 has 96 divisors (see below), whose sum is σ = 29864885397984. Its totient is φ = 4827767808000.

The previous prime is 12112220011981. The next prime is 12112220012003. The reversal of 12112220012000 is 21002221121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112220012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4217921 + ... + 6481920.

It is an arithmetic number, because the mean of its divisors is an integer number (311092556229).

Almost surely, 212112220012000 is an apocalyptic number.

12112220012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112220012000 is an abundant number, since it is smaller than the sum of its proper divisors (17752665385984).

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

12112220012000 is a wasteful number, since it uses less digits than its factorization.

12112220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700149 (or 10700131 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12112220012000 its reverse (21002221121), we get a palindrome (12133222233121).

The spelling of 12112220012000 in words is "twelve trillion, one hundred twelve billion, two hundred twenty million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 283 400 500 566 800 1000 1132 1415 2000 2264 2830 4000 4528 5660 7075 9056 11320 14150 22640 28300 35375 45280 56600 70750 113200 141500 226400 283000 566000 1132000 10699841 21399682 42799364 53499205 85598728 106998410 171197456 213996820 267496025 342394912 427993640 534992050 855987280 1069984100 1337480125 1711974560 2139968200 2674960250 3028055003 4279936400 5349920500 6056110006 8559872800 10699841000 12112220012 15140275015 21399682000 24224440024 30280550030 42799364000 48448880048 60561100060 75701375075 96897760096 121122200120 151402750150 242244400240 302805500300 378506875375 484488800480 605611000600 757013750750 1211222001200 1514027501500 2422444002400 3028055003000 6056110006000 12112220012000