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121121121111000 = 2335348018409437
BaseRepresentation
bin11011100010100010110101…
…011001100000101111011000
3120212212001210011221102002120
4123202202311121200233120
5111333422024001023000
61105334135213101240
734340466202325613
oct3342426531405730
9525761704842076
10121121121111000
11356581a727853a
1211702102487820
135277898c4255a
1421ca41769517a
15e009894c86a0
hex6e28b5660bd8

121121121111000 has 128 divisors (see below), whose sum is σ = 377976655143360. Its totient is φ = 32292234240000.

The previous prime is 121121121110947. The next prime is 121121121111047. The reversal of 121121121111000 is 111121121121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10198282 + ... + 18607718.

Almost surely, 2121121121111000 is an apocalyptic number.

121121121111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121121121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188988327571680).

121121121111000 is an abundant number, since it is smaller than the sum of its proper divisors (256855534032360).

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

121121121111000 is a wasteful number, since it uses less digits than its factorization.

121121121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414262 (or 8414248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121121121111000 its reverse (111121121121), we get a palindrome (121232242232121).

It can be divided in two parts, 121121121 and 111000, that added together give a palindrome (121232121).

The spelling of 121121121111000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4801 9602 14403 19204 24005 28806 38408 48010 57612 72015 96020 115224 120025 144030 192040 240050 288060 360075 480100 576120 600125 720150 960200 1200250 1440300 1800375 2400500 2880600 3600750 4801000 7201500 8409437 14403000 16818874 25228311 33637748 42047185 50456622 67275496 84094370 100913244 126141555 168188740 201826488 210235925 252283110 336377480 420471850 504566220 630707775 840943700 1009132440 1051179625 1261415550 1681887400 2102359250 2522831100 3153538875 4204718500 5045662200 6307077750 8409437000 12614155500 25228311000 40373707037 80747414074 121121121111 161494828148 201868535185 242242242222 322989656296 403737070370 484484484444 605605605555 807474140740 968968968888 1009342675925 1211211211110 1614948281480 2018685351850 2422422422220 3028028027775 4037370703700 4844844844440 5046713379625 6056056055550 8074741407400 10093426759250 12112112111100 15140140138875 20186853518500 24224224222200 30280280277750 40373707037000 60560560555500 121121121111000