| Base | Representation |
|---|---|
| bin | 1110100101000… |
| … | …11100100100000 |
| 3 | 22112010201122102 |
| 4 | 13102203210200 |
| 5 | 222302223200 |
| 6 | 20045225532 |
| 7 | 3013400522 |
| oct | 722434440 |
| 9 | 275121572 |
| 10 | 122304800 |
| 11 | 63046452 |
| 12 | 34b622a8 |
| 13 | 1c453007 |
| 14 | 12359a12 |
| 15 | ab0d6d5 |
| hex | 74a3920 |
122304800 has 162 divisors, whose sum is σ = 331562763. Its totient is φ = 44042240.
The previous prime is 122304799. The next prime is 122304811. The reversal of 122304800 is 8403221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
122304800 is nontrivially palindromic in base 9.
It can be written as a sum of positive squares in 5 ways, for example, as 79637776 + 42667024 = 8924^2 + 6532^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=7820.
It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5317589 + ... + 5317611.
Almost surely, 2122304800 is an apocalyptic number.
122304800 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 122304800
122304800 is an abundant number, since it is smaller than the sum of its proper divisors (209257963).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122304800 is a wasteful number, since it uses less digits than its factorization.
122304800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 122304800 is about 11059.1500577576. The cubic root of 122304800 is about 496.3802581753.
The spelling of 122304800 in words is "one hundred twenty-two million, three hundred four thousand, eight hundred".
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