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11112022121120 = 255257433624097
BaseRepresentation
bin1010000110110011100000…
…1000011001101010100000
31110100022001221001001101022
42201230320020121222200
52424024410130333440
635344443102225012
72224550160410534
oct241547010315240
943308057031338
1011112022121120
1135a46448855a8
1212b5701885168
13627b2284201b
142a5b79131bc4
151440b1083cb5
hexa1b38219aa0

11112022121120 has 96 divisors (see below), whose sum is σ = 26415207474768. Its totient is φ = 4417281589248.

The previous prime is 11112022121117. The next prime is 11112022121147. The reversal of 11112022121120 is 2112122021111.

It can be written as a sum of positive squares in 8 ways, for example, as 7438252563856 + 3673769557264 = 2727316^2 + 1916708^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17492912 + ... + 18117008.

Almost surely, 211112022121120 is an apocalyptic number.

11112022121120 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 11112022121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207603737384).

11112022121120 is an abundant number, since it is smaller than the sum of its proper divisors (15303185353648).

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

11112022121120 is a wasteful number, since it uses less digits than its factorization.

11112022121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624802 (or 624794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11112022121120 its reverse (2112122021111), we get a palindrome (13224144142231).

The spelling of 11112022121120 in words is "eleven trillion, one hundred twelve billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 433 514 866 1028 1285 1732 2056 2165 2570 3464 4112 4330 5140 6928 8224 8660 10280 13856 17320 20560 34640 41120 69280 111281 222562 445124 556405 624097 890248 1112810 1248194 1780496 2225620 2496388 3120485 3560992 4451240 4992776 6240970 8902480 9985552 12481940 17804960 19971104 24963880 49927760 99855520 160392929 270234001 320785858 540468002 641571716 801964645 1080936004 1283143432 1351170005 1603929290 2161872008 2566286864 2702340010 3207858580 4323744016 5132573728 5404680020 6415717160 8647488032 10809360040 12831434320 21618720080 25662868640 43237440160 69450138257 138900276514 277800553028 347250691285 555601106056 694501382570 1111202212112 1389002765140 2222404424224 2778005530280 5556011060560 11112022121120