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12002111110200 = 2335266569300493
BaseRepresentation
bin1010111010100111010110…
…0100011011110000111000
31120111101112202111121120010
42232221311210123300320
53033120310421011300
641305405502301520
72346060334111521
oct256516544336070
946441482447503
1012002111110200
113908080911182
12141a10a8878a0
13690a42b9a713
142d6c9611b848
1515c30842ea50
hexaea7591bc38

12002111110200 has 96 divisors (see below), whose sum is σ = 37207227178800. Its totient is φ = 3200504232960.

The previous prime is 12002111110133. The next prime is 12002111110201. The reversal of 12002111110200 is 201111120021.

It is a super-2 number, since 2×120021111102002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002111110201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39791154 + ... + 40091646.

Almost surely, 212002111110200 is an apocalyptic number.

12002111110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002111110200 is an abundant number, since it is smaller than the sum of its proper divisors (25205116068600).

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

12002111110200 is a wasteful number, since it uses less digits than its factorization.

12002111110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367081 (or 367072 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12002111110200 its reverse (201111120021), we get a palindrome (12203222230221).

The spelling of 12002111110200 in words is "twelve trillion, two billion, one hundred eleven million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 66569 133138 199707 266276 300493 332845 399414 532552 600986 665690 798828 901479 998535 1201972 1331380 1502465 1597656 1664225 1802958 1997070 2403944 2662760 3004930 3328450 3605916 3994140 4507395 4992675 6009860 6656900 7211832 7512325 7988280 9014790 9985350 12019720 13313800 15024650 18029580 19970700 22536975 30049300 36059160 39941400 45073950 60098600 90147900 180295800 20003518517 40007037034 60010555551 80014074068 100017592585 120021111102 160028148136 200035185170 240042222204 300052777755 400070370340 480084444408 500087962925 600105555510 800140740680 1000175925850 1200211111020 1500263888775 2000351851700 2400422222040 3000527777550 4000703703400 6001055555100 12002111110200