Base | Representation |
---|---|
bin | 1110100011100… |
… | …01100100101100 |
3 | 22111202022201200 |
4 | 13101301210230 |
5 | 222224200022 |
6 | 20041005500 |
7 | 3011555466 |
oct | 721614454 |
9 | 274668650 |
10 | 122100012 |
11 | 62a16601 |
12 | 34a83890 |
13 | 1c3b0a38 |
14 | 12305136 |
15 | aabcbac |
hex | 747192c |
122100012 has 18 divisors (see below), whose sum is σ = 308641788. Its totient is φ = 40699992.
The previous prime is 122100007. The next prime is 122100029. The reversal of 122100012 is 210001221.
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 122099967 and 122100003.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1695798 + ... + 1695869.
It is an arithmetic number, because the mean of its divisors is an integer number (17146766).
Almost surely, 2122100012 is an apocalyptic number.
122100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
122100012 is an abundant number, since it is smaller than the sum of its proper divisors (186541776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122100012 is a wasteful number, since it uses less digits than its factorization.
122100012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3391677 (or 3391672 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 122100012 is about 11049.8874202410. The cubic root of 122100012 is about 496.1030558928.
Adding to 122100012 its reverse (210001221), we get a palindrome (332101233).
The spelling of 122100012 in words is "one hundred twenty-two million, one hundred thousand, twelve".
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