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11123212000 = 255327710039
BaseRepresentation
bin10100101101111111…
…01011111011100000
31001201012021201022211
422112333223323200
5140240020241000
65035425011504
7542433512335
oct122677537340
931635251284
1011123212000
11479884389a
1221a5183b94
131083607564
147773c498c
154517cb7ba
hex296febee0

11123212000 has 96 divisors (see below), whose sum is σ = 27431127360. Its totient is φ = 4432780800.

The previous prime is 11123211989. The next prime is 11123212019. The reversal of 11123212000 is 21232111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102981 + ... + 1113019.

It is an arithmetic number, because the mean of its divisors is an integer number (285740910).

Almost surely, 211123212000 is an apocalyptic number.

11123212000 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 11123212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715563680).

11123212000 is an abundant number, since it is smaller than the sum of its proper divisors (16307915360).

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

11123212000 is a wasteful number, since it uses less digits than its factorization.

11123212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11123212000 its reverse (21232111), we get a palindrome (11144444111).

The spelling of 11123212000 in words is "eleven billion, one hundred twenty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 277 400 500 554 800 1000 1108 1385 2000 2216 2770 4000 4432 5540 6925 8864 10039 11080 13850 20078 22160 27700 34625 40156 44320 50195 55400 69250 80312 100390 110800 138500 160624 200780 221600 250975 277000 321248 401560 501950 554000 803120 1003900 1108000 1254875 1606240 2007800 2509750 2780803 4015600 5019500 5561606 8031200 10039000 11123212 13904015 20078000 22246424 27808030 40156000 44492848 55616060 69520075 88985696 111232120 139040150 222464240 278080300 347600375 444928480 556160600 695200750 1112321200 1390401500 2224642400 2780803000 5561606000 11123212000