| Base | Representation |
|---|---|
| bin | 111000110111100001… |
| … | …0100010110011100000 |
| 3 | 102200012220010111121000 |
| 4 | 1301233002202303200 |
| 5 | 4000101214201422 |
| 6 | 132034014432000 |
| 7 | 11552204026536 |
| oct | 1615702426340 |
| 9 | 380186114530 |
| 10 | 122122022112 |
| 11 | 47878774802 |
| 12 | 1b802502600 |
| 13 | b692a15b5c |
| 14 | 5ca70c6156 |
| 15 | 329b41ccac |
| hex | 1c6f0a2ce0 |
122122022112 has 384 divisors, whose sum is σ = 387730022400. Its totient is φ = 37270015488.
The previous prime is 122122022101. The next prime is 122122022123. The reversal of 122122022112 is 211220221221.
It is a happy number.
122122022112 is a `hidden beast` number, since 1 + 221 + 220 + 221 + 1 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (122122022101) and next prime (122122022123).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 64037863 + ... + 64039769.
It is an arithmetic number, because the mean of its divisors is an integer number (1009713600).
Almost surely, 2122122022112 is an apocalyptic number.
122122022112 is a gapful number since it is divisible by the number (12) 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 122122022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193865011200).
122122022112 is an abundant number, since it is smaller than the sum of its proper divisors (265608000288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122122022112 is a wasteful number, since it uses less digits than its factorization.
122122022112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2075 (or 2061 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122122022112 its reverse (211220221221), we get a palindrome (333342243333).
The spelling of 122122022112 in words is "one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".
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