| Base | Representation |
|---|---|
| bin | 11110111000010010010… |
| … | …111100110101111101000 |
| 3 | 21111212022100210211100200 |
| 4 | 132320102113212233220 |
| 5 | 234231400114201440 |
| 6 | 4302502104232200 |
| 7 | 306211453402500 |
| oct | 36702227465750 |
| 9 | 7455270724320 |
| 10 | 2122022022120 |
| 11 | 748a43124070 |
| 12 | 2a3318a6b660 |
| 13 | 12514b636720 |
| 14 | 749c6584a00 |
| 15 | 3a2ea745c30 |
| hex | 1ee125e6be8 |
2122022022120 has 576 divisors, whose sum is σ = 9425096029440. Its totient is φ = 407020723200.
The previous prime is 2122022022037. The next prime is 2122022022139. The reversal of 2122022022120 is 212202202212.
2122022022120 is a `hidden beast` number, since 2 + 1 + 220 + 220 + 221 + 2 + 0 = 666.
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 = 2122022022093 and 2122022022102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2101905 + ... + 2943135.
It is an arithmetic number, because the mean of its divisors is an integer number (16363013940).
Almost surely, 22122022022120 is an apocalyptic number.
2122022022120 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 2122022022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712548014720).
2122022022120 is an abundant number, since it is smaller than the sum of its proper divisors (7303074007320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122022022120 is a wasteful number, since it uses less digits than its factorization.
2122022022120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 841286 (or 841272 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2122022022120 its reverse (212202202212), we get a palindrome (2334224224332).
It can be divided in two parts, 212202 and 2022120, that added together give a palindrome (2234322).
The spelling of 2122022022120 in words is "two trillion, one hundred twenty-two billion, twenty-two million, twenty-two thousand, one hundred twenty".
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