| Base | Representation |
|---|---|
| bin | 1110101001100… |
| … | …11100100110000 |
| 3 | 22120020200202100 |
| 4 | 13110303210300 |
| 5 | 222430112030 |
| 6 | 20110020400 |
| 7 | 3021405261 |
| oct | 724634460 |
| 9 | 276220670 |
| 10 | 122894640 |
| 11 | 63409620 |
| 12 | 351a7700 |
| 13 | 1c5cb62b |
| 14 | 12470968 |
| 15 | abc8360 |
| hex | 7533930 |
122894640 has 240 divisors, whose sum is σ = 459613440. Its totient is φ = 29176320.
The previous prime is 122894627. The next prime is 122894647. The reversal of 122894640 is 46498221.
122894640 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 122894595 and 122894604.
It is not an unprimeable number, because it can be changed into a prime (122894647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467149 + ... + 467411.
It is an arithmetic number, because the mean of its divisors is an integer number (1915056).
Almost surely, 2122894640 is an apocalyptic number.
122894640 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 122894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).
122894640 is an abundant number, since it is smaller than the sum of its proper divisors (336718800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122894640 is a wasteful number, since it uses less digits than its factorization.
122894640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 352 (or 343 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 122894640 is about 11085.7854931439. The cubic root of 122894640 is about 497.1769440418.
The spelling of 122894640 in words is "one hundred twenty-two million, eight hundred ninety-four thousand, six hundred forty".
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