Base | Representation |
---|---|
bin | 111000110111001110… |
… | …1000111100100001100 |
3 | 102200012012200001120100 |
4 | 1301232131013210030 |
5 | 4000041211224322 |
6 | 132033024251100 |
7 | 11552024445405 |
oct | 1615635074414 |
9 | 380165601510 |
10 | 122112211212 |
11 | 47873183722 |
12 | 1b7bb170a90 |
13 | b69098c3a4 |
14 | 5ca5a909ac |
15 | 329a630dac |
hex | 1c6e74790c |
122112211212 has 36 divisors (see below), whose sum is σ = 308684292280. Its totient is φ = 40702519872.
The previous prime is 122112211163. The next prime is 122112211219. The reversal of 122112211212 is 212112211221.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1221122112122 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (122112211219) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272864 + ... + 1365432.
Almost surely, 2122112211212 is an apocalyptic number.
122112211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
122112211212 is an abundant number, since it is smaller than the sum of its proper divisors (186572081068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122112211212 is a wasteful number, since it uses less digits than its factorization.
122112211212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129222 (or 129217 counting only the distinct ones).
The product of its digits is 64, while the sum is 18.
Adding to 122112211212 its reverse (212112211221), we get a palindrome (334224422433).
Subtracting 122112211212 from its reverse (212112211221), we obtain a palindrome (90000000009).
The spelling of 122112211212 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred twelve".
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