Base | Representation |
---|---|
bin | 111000110011111110… |
… | …0111110001111100011 |
3 | 102122220121101201002200 |
4 | 1301213330332033203 |
5 | 3444330244333443 |
6 | 132014130144243 |
7 | 11546231263452 |
oct | 1614774761743 |
9 | 378817351080 |
10 | 122003121123 |
11 | 47817643724 |
12 | 1b78a722083 |
13 | b6741b5240 |
14 | 5c953b4b99 |
15 | 3290c82dd3 |
hex | 1c67f3e3e3 |
122003121123 has 48 divisors (see below), whose sum is σ = 190549902816. Its totient is φ = 74775859200.
The previous prime is 122003121091. The next prime is 122003121127. The reversal of 122003121123 is 321121300221.
It is not a de Polignac number, because 122003121123 - 25 = 122003121091 is a prime.
It is a super-2 number, since 2×1220031211232 (a number of 23 digits) contains 22 as substring.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 122003121096 and 122003121105.
It is not an unprimeable number, because it can be changed into a prime (122003121127) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64998061 + ... + 64999937.
It is an arithmetic number, because the mean of its divisors is an integer number (3969789642).
Almost surely, 2122003121123 is an apocalyptic number.
122003121123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
122003121123 is a deficient number, since it is larger than the sum of its proper divisors (68546781693).
122003121123 is a wasteful number, since it uses less digits than its factorization.
122003121123 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3844 (or 3841 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 122003121123 its reverse (321121300221), we get a palindrome (443124421344).
The spelling of 122003121123 in words is "one hundred twenty-two billion, three million, one hundred twenty-one thousand, one hundred twenty-three".
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