| Base | Representation |
|---|---|
| bin | 11011101111010101010111… |
| … | …111011010111001011100000 |
| 3 | 120222222002101020120002011200 |
| 4 | 123233111113323113023200 |
| 5 | 111442322020413101422 |
| 6 | 1111250011440441200 |
| 7 | 34461132154111245 |
| oct | 3357252773271340 |
| 9 | 528862336502150 |
| 10 | 122000021222112 |
| 11 | 35966a1149a530 |
| 12 | 11824508319200 |
| 13 | 530c7251b17b7 |
| 14 | 221ab926855cc |
| 15 | e187794262ac |
| hex | 6ef557ed72e0 |
122000021222112 has 288 divisors, whose sum is σ = 396517444936704. Its totient is φ = 35243143372800.
The previous prime is 122000021222063. The next prime is 122000021222113. The reversal of 122000021222112 is 211222120000221.
It is a happy number.
122000021222112 is a `hidden beast` number, since 1 + 220 + 0 + 0 + 0 + 212 + 221 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122000021222113) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690673 + ... + 15850544.
It is an arithmetic number, because the mean of its divisors is an integer number (1376796683808).
Almost surely, 2122000021222112 is an apocalyptic number.
122000021222112 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 122000021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198258722468352).
122000021222112 is an abundant number, since it is smaller than the sum of its proper divisors (274517423714592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122000021222112 is a wasteful number, since it uses less digits than its factorization.
122000021222112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18541342 (or 18541331 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122000021222112 its reverse (211222120000221), we get a palindrome (333222141222333).
The spelling of 122000021222112 in words is "one hundred twenty-two trillion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".
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