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12002111112200 = 2352117151762901
BaseRepresentation
bin1010111010100111010110…
…0100011100010000001000
31120111101112202111201022012
42232221311210130100020
53033120310421042300
641305405502315052
72346060334120406
oct256516544342010
946441482451265
1012002111112200
113908080912730
12141a10a888a88
13690a42b9b5c1
142d6c9611c476
1515c308430435
hexaea7591c408

12002111112200 has 96 divisors (see below), whose sum is σ = 30446015080320. Its totient is φ = 4363788000000.

The previous prime is 12002111112181. The next prime is 12002111112223. The reversal of 12002111112200 is 221111120021.

It is a super-2 number, since 2×120021111122002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15350750 + ... + 16113650.

It is an arithmetic number, because the mean of its divisors is an integer number (317145990420).

Almost surely, 212002111112200 is an apocalyptic number.

12002111112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002111112200 is an abundant number, since it is smaller than the sum of its proper divisors (18443903968120).

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

12002111112200 is a wasteful number, since it uses less digits than its factorization.

12002111112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770079 (or 770070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12002111112200 its reverse (221111120021), we get a palindrome (12223222232221).

The spelling of 12002111112200 in words is "twelve trillion, two billion, one hundred eleven million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 7151 14302 28604 35755 57208 71510 78661 143020 157322 178775 286040 314644 357550 393305 629288 715100 762901 786610 1430200 1525802 1573220 1966525 3051604 3146440 3814505 3933050 6103208 7629010 7866100 8391911 15258020 15732200 16783822 19072525 30516040 33567644 38145050 41959555 67135288 76290100 83919110 152580200 167838220 209797775 335676440 419595550 839191100 1678382200 5455505051 10911010102 21822020204 27277525255 43644040408 54555050510 60010555561 109110101020 120021111122 136387626275 218220202040 240042222244 272775252550 300052777805 480084444488 545550505100 600105555610 1091101010200 1200211111220 1500263889025 2400422222440 3000527778050 6001055556100 12002111112200