Base | Representation |
---|---|
bin | 111000110011111000… |
… | …1100101000001000100 |
3 | 102122220101202221211100 |
4 | 1301213301211001010 |
5 | 3444324013243322 |
6 | 132013542140100 |
7 | 11546164013325 |
oct | 1614761450104 |
9 | 378811687740 |
10 | 122000134212 |
11 | 47815993600 |
12 | 1b789721630 |
13 | b6736aa838 |
14 | 5c94c3844c |
15 | 3290892dac |
hex | 1c67c65044 |
122000134212 has 108 divisors (see below), whose sum is σ = 339408253548. Its totient is φ = 36922300800.
The previous prime is 122000134181. The next prime is 122000134213. The reversal of 122000134212 is 212431000221.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 54927421956 + 67072712256 = 234366^2 + 258984^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (122000134213) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3454162 + ... + 3489302.
Almost surely, 2122000134212 is an apocalyptic number.
122000134212 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 122000134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169704126774).
122000134212 is an abundant number, since it is smaller than the sum of its proper divisors (217408119336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122000134212 is a wasteful number, since it uses less digits than its factorization.
122000134212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35970 (or 35954 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 122000134212 its reverse (212431000221), we get a palindrome (334431134433).
The spelling of 122000134212 in words is "one hundred twenty-two billion, one hundred thirty-four thousand, two hundred twelve".
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