Base | Representation |
---|---|
bin | 1110100010110… |
… | …11100110011100 |
3 | 22111120202021100 |
4 | 13101123212130 |
5 | 222213310022 |
6 | 20035033100 |
7 | 3011032215 |
oct | 721334634 |
9 | 274522240 |
10 | 122010012 |
11 | 62964a23 |
12 | 34a3b790 |
13 | 1c37ba97 |
14 | 122c040c |
15 | aaa11ac |
hex | 745b99c |
122010012 has 36 divisors (see below), whose sum is σ = 309254400. Its totient is φ = 40559232.
The previous prime is 122009999. The next prime is 122010013. The reversal of 122010012 is 210010221.
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 (9).
It is a junction number, because it is equal to n+sod(n) for n = 122009976 and 122010003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122010013) 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, 9364 + ... + 18212.
It is an arithmetic number, because the mean of its divisors is an integer number (8590400).
Almost surely, 2122010012 is an apocalyptic number.
122010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
122010012 is an abundant number, since it is smaller than the sum of its proper divisors (187244388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122010012 is a wasteful number, since it uses less digits than its factorization.
122010012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9242 (or 9237 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 122010012 is about 11045.8142298339. The cubic root of 122010012 is about 495.9811333007.
Adding to 122010012 its reverse (210010221), we get a palindrome (332020233).
The spelling of 122010012 in words is "one hundred twenty-two million, ten thousand, twelve".
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