| Base | Representation |
|---|---|
| bin | 1010000000100110111010… |
| … | …00011111011111000000000 |
| 3 | 2212221020112212211220222100 |
| 4 | 11000103131003323320000 |
| 5 | 10341112234013033440 |
| 6 | 114451434113310400 |
| 7 | 4431152050241103 |
| oct | 500233503737000 |
| 9 | 85836485756870 |
| 10 | 22011121221120 |
| 11 | 7016956111959 |
| 12 | 2575a9bb65400 |
| 13 | c38841906405 |
| 14 | 5614b5b3473a |
| 15 | 28285e39a230 |
| hex | 1404dd0fbe00 |
22011121221120 has 480 divisors, whose sum is σ = 77116975135200. Its totient is φ = 5801764257792.
The previous prime is 22011121221079. The next prime is 22011121221151. The reversal of 22011121221120 is 2112212111022.
22011121221120 is a `hidden beast` number, since 2 + 201 + 1 + 121 + 221 + 120 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22011121221093 and 22011121221102.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 733371234 + ... + 733401246.
It is an arithmetic number, because the mean of its divisors is an integer number (160660364865).
Almost surely, 222011121221120 is an apocalyptic number.
22011121221120 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 22011121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38558487567600).
22011121221120 is an abundant number, since it is smaller than the sum of its proper divisors (55105853914080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22011121221120 is a wasteful number, since it uses less digits than its factorization.
22011121221120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30410 (or 30391 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 22011121221120 its reverse (2112212111022), we get a palindrome (24123333332142).
The spelling of 22011121221120 in words is "twenty-two trillion, eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".
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