Base | Representation |
---|---|
bin | 111000110111011111… |
… | …1011111011101111100 |
3 | 102200012211121212001200 |
4 | 1301232333133131330 |
5 | 4000101013101022 |
6 | 132033545335500 |
7 | 11552164155066 |
oct | 1615677373574 |
9 | 380184555050 |
10 | 122121222012 |
11 | 47878278669 |
12 | 1b802197590 |
13 | b6927c591a |
14 | 5ca6d58736 |
15 | 329b310bac |
hex | 1c6efdf77c |
122121222012 has 36 divisors (see below), whose sum is σ = 308726131896. Its totient is φ = 40703009760.
The previous prime is 122121222011. The next prime is 122121222023. The reversal of 122121222012 is 210222121221.
It is a happy number.
122121222012 is a `hidden beast` number, since 1 + 221 + 212 + 220 + 12 = 666.
122121222012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122121222011) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207738 + ... + 536094.
It is an arithmetic number, because the mean of its divisors is an integer number (8575725886).
Almost surely, 2122121222012 is an apocalyptic number.
122121222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
122121222012 is an abundant number, since it is smaller than the sum of its proper divisors (186604909884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122121222012 is a wasteful number, since it uses less digits than its factorization.
122121222012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 338698 (or 338693 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122121222012 its reverse (210222121221), we get a palindrome (332343343233).
The spelling of 122121222012 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, twelve".
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