| Base | Representation |
|---|---|
| bin | 1010000111011001000110… |
| … | …0010010100001011010000 |
| 3 | 1110101021010002222002020021 |
| 4 | 2201312101202110023100 |
| 5 | 2424211041134134300 |
| 6 | 35353232215553224 |
| 7 | 2225355206221045 |
| oct | 241662142241320 |
| 9 | 43337102862207 |
| 10 | 11122112021200 |
| 11 | 35a89523128a4 |
| 12 | 12b765898b814 |
| 13 | 628a70047abb |
| 14 | 2a64551b71cc |
| 15 | 1444a1c9dd1a |
| hex | a1d918942d0 |
11122112021200 has 240 divisors, whose sum is σ = 28639204674480. Its totient is φ = 4135960576000.
The previous prime is 11122112021179. The next prime is 11122112021201. The reversal of 11122112021200 is 212021122111.
It can be written as a sum of positive squares in 24 ways, for example, as 7670750630544 + 3451361390656 = 2769612^2 + 1857784^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11122112021201) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 642108540 + ... + 642125860.
It is an arithmetic number, because the mean of its divisors is an integer number (119330019477).
Almost surely, 211122112021200 is an apocalyptic number.
11122112021200 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 11122112021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319602337240).
11122112021200 is an abundant number, since it is smaller than the sum of its proper divisors (17517092653280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11122112021200 is a wasteful number, since it uses less digits than its factorization.
11122112021200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18506 (or 18495 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 11122112021200 its reverse (212021122111), we get a palindrome (11334133143311).
The spelling of 11122112021200 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, twenty-one thousand, two hundred".
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