| Base | Representation |
|---|---|
| bin | 1010000011110101110101… |
| … | …00010100101000010110000 |
| 3 | 2220022212021221020121221000 |
| 4 | 11001322322202211002300 |
| 5 | 10344422242031414300 |
| 6 | 115014445321202000 |
| 7 | 4442164005423045 |
| oct | 501727242450260 |
| 9 | 86285257217830 |
| 10 | 22122211201200 |
| 11 | 7059a82553150 |
| 12 | 2593523930300 |
| 13 | c46166b86336 |
| 14 | 566a139a91cc |
| 15 | 2856b1ee9c00 |
| hex | 141eba8a50b0 |
22122211201200 has 480 divisors, whose sum is σ = 86861920838400. Its totient is φ = 5302699776000.
The previous prime is 22122211201169. The next prime is 22122211201217. The reversal of 22122211201200 is 210211222122.
It is a happy number.
22122211201200 is a `hidden beast` number, since 221 + 2 + 221 + 1 + 20 + 1 + 200 = 666.
It is a super-4 number, since 4×221222112012004 (a number of 54 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9527055 + ... + 11619345.
It is an arithmetic number, because the mean of its divisors is an integer number (180962335080).
Almost surely, 222122211201200 is an apocalyptic number.
22122211201200 is a gapful number since it is divisible by the number (20) 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 22122211201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43430960419200).
22122211201200 is an abundant number, since it is smaller than the sum of its proper divisors (64739709637200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122211201200 is a wasteful number, since it uses less digits than its factorization.
22122211201200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2092418 (or 2092401 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22122211201200 its reverse (210211222122), we get a palindrome (22332422423322).
The spelling of 22122211201200 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, two hundred".
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