| Base | Representation |
|---|---|
| bin | 11011110001010001100000… |
| … | …100100001010000110001100 |
| 3 | 121000102211102101010122222200 |
| 4 | 123301101200210022012030 |
| 5 | 112002013004342322312 |
| 6 | 1111431133524241500 |
| 7 | 34503561165052200 |
| oct | 3361214044120614 |
| 9 | 530384371118880 |
| 10 | 122133310120332 |
| 11 | 35a0849a610565 |
| 12 | 11846306540290 |
| 13 | 531c17757c444 |
| 14 | 22233d887ab00 |
| 15 | e1be7ad980dc |
| hex | 6f146090a18c |
122133310120332 has 216 divisors, whose sum is σ = 359953260095520. Its totient is φ = 34815282001920.
The previous prime is 122133310120309. The next prime is 122133310120363. The reversal of 122133310120332 is 233021013331221.
122133310120332 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 3 + 310 + 12 + 0 + 332 = 666.
122133310120332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 122133310120296 and 122133310120305.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4217150332 + ... + 4217179292.
It is an arithmetic number, because the mean of its divisors is an integer number (1666450278220).
Almost surely, 2122133310120332 is an apocalyptic number.
122133310120332 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 122133310120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179976630047760).
122133310120332 is an abundant number, since it is smaller than the sum of its proper divisors (237819949975188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122133310120332 is a wasteful number, since it uses less digits than its factorization.
122133310120332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34381 (or 34369 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 122133310120332 its reverse (233021013331221), we get a palindrome (355154323451553).
The spelling of 122133310120332 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, three hundred ten million, one hundred twenty thousand, three hundred thirty-two".
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