| Base | Representation |
|---|---|
| bin | 110000000000001110111000… |
| … | …011100110101100011010000 |
| 3 | 1000200112002022221201200200021 |
| 4 | 300000032320130311203100 |
| 5 | 210133011242233031000 |
| 6 | 2025004112200233224 |
| 7 | 62320035140421025 |
| oct | 6000167034654320 |
| 9 | 1020462287650607 |
| 10 | 211122212002000 |
| 11 | 612a7477804202 |
| 12 | 1b818a9576b814 |
| 13 | 90a597bc41800 |
| 14 | 3a1c5261c554c |
| 15 | 1961b8e9dc11a |
| hex | c003b87358d0 |
211122212002000 has 240 divisors, whose sum is σ = 553002876354240. Its totient is φ = 77921797824000.
The previous prime is 211122212001997. The next prime is 211122212002003. The reversal of 211122212002000 is 200212221112.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (211122212001997) and next prime (211122212002003).
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 (211122212002003) by changing a digit.
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, 858058995 + ... + 858305005.
It is an arithmetic number, because the mean of its divisors is an integer number (2304178651476).
Almost surely, 2211122212002000 is an apocalyptic number.
211122212002000 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 211122212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276501438177120).
211122212002000 is an abundant number, since it is smaller than the sum of its proper divisors (341880664352240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211122212002000 is a wasteful number, since it uses less digits than its factorization.
211122212002000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 248599 (or 248570 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 211122212002000 its reverse (200212221112), we get a palindrome (211322424223112).
The spelling of 211122212002000 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, two thousand".
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