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12102100022000 = 24538372904217
BaseRepresentation
bin1011000000011011110101…
…0111110111001011110000
31120211221122011021121122202
42300012331113313023300
53041240100101201000
641423343351522332
72356230214616102
oct260067527671360
946757564247582
1012102100022000
113946520a6357a
1214355749893a8
1369a2b92c71a1
142dba5d8d3572
1515ec0b6c8dd5
hexb01bd5f72f0

12102100022000 has 80 divisors (see below), whose sum is σ = 29615443052832. Its totient is φ = 4782516569600.

The previous prime is 12102100021981. The next prime is 12102100022009. The reversal of 12102100022000 is 22000120121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102100022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36286109 + ... + 36618108.

Almost surely, 212102100022000 is an apocalyptic number.

12102100022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102100022000 is an abundant number, since it is smaller than the sum of its proper divisors (17513343030832).

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

12102100022000 is an equidigital number, since it uses as much as digits as its factorization.

12102100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72904323 (or 72904307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12102100022000 its reverse (22000120121), we get a palindrome (12124100142121).

The spelling of 12102100022000 in words is "twelve trillion, one hundred two billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 830 1000 1328 1660 2000 2075 3320 4150 6640 8300 10375 16600 20750 33200 41500 83000 166000 72904217 145808434 291616868 364521085 583233736 729042170 1166467472 1458084340 1822605425 2916168680 3645210850 5832337360 6051050011 7290421700 9113027125 12102100022 14580843400 18226054250 24204200044 29161686800 30255250055 36452108500 48408400088 60510500110 72904217000 96816800176 121021000220 145808434000 151276250275 242042000440 302552500550 484084000880 605105001100 756381251375 1210210002200 1512762502750 2420420004400 3025525005500 6051050011000 12102100022000