| Base | Representation |
|---|---|
| bin | 11011110001001000001101… |
| … | …001011111000011101100000 |
| 3 | 121000101212122020102200111000 |
| 4 | 123301020031023320131200 |
| 5 | 112001332030224004440 |
| 6 | 1111422402421352000 |
| 7 | 34503055514435241 |
| oct | 3361101513703540 |
| 9 | 530355566380430 |
| 10 | 122123321313120 |
| 11 | 35a04234150896 |
| 12 | 11844399268600 |
| 13 | 531b244cb072a |
| 14 | 2222b2bdcccc8 |
| 15 | e1ba93e9b730 |
| hex | 6f120d2f8760 |
122123321313120 has 768 divisors, whose sum is σ = 449555508864000. Its totient is φ = 30946781472768.
The previous prime is 122123321313101. The next prime is 122123321313151. The reversal of 122123321313120 is 21313123321221.
122123321313120 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 3 + 321 + 313 + 1 + 20 = 666.
It is a super-3 number, since 3×1221233213131203 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9409294791 + ... + 9409307769.
It is an arithmetic number, because the mean of its divisors is an integer number (585358735500).
Almost surely, 2122123321313120 is an apocalyptic number.
122123321313120 is a gapful number since it is divisible by the number (10) 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 122123321313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224777754432000).
122123321313120 is an abundant number, since it is smaller than the sum of its proper divisors (327432187550880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122123321313120 is an equidigital number, since it uses as much as digits as its factorization.
122123321313120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13157 (or 13069 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 122123321313120 its reverse (21313123321221), we get a palindrome (143436444634341).
The spelling of 122123321313120 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".
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