Base | Representation |
---|---|
bin | 1011000001100111001010… |
… | …1001001100100001010000 |
3 | 1120220212211101211101011102 |
4 | 2300121302221030201100 |
5 | 3042103003201023440 |
6 | 41440530100003532 |
7 | 2360544263213513 |
oct | 260316251144120 |
9 | 46825741741142 |
10 | 12122321111120 |
11 | 395405826a080 |
12 | 14394789905a8 |
13 | 69c18c73118c |
14 | 2dca1b2cad7a |
15 | 1604e1a67b15 |
hex | b0672a4c850 |
12122321111120 has 160 divisors (see below), whose sum is σ = 31274419559040. Its totient is φ = 4332477726720.
The previous prime is 12122321111111. The next prime is 12122321111129. The reversal of 12122321111120 is 2111112322121.
It is an interprime number because it is at equal distance from previous prime (12122321111111) and next prime (12122321111129).
It is a super-2 number, since 2×121223211111202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 12122321111092 and 12122321111101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12122321111129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271675052 + ... + 271719668.
It is an arithmetic number, because the mean of its divisors is an integer number (195465122244).
Almost surely, 212122321111120 is an apocalyptic number.
12122321111120 is a gapful number since it is divisible by the number (10) 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 12122321111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637209779520).
12122321111120 is an abundant number, since it is smaller than the sum of its proper divisors (19152098447920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12122321111120 is a wasteful number, since it uses less digits than its factorization.
12122321111120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49933 (or 49927 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 20.
Adding to 12122321111120 its reverse (2111112322121), we get a palindrome (14233433433241).
The spelling of 12122321111120 in words is "twelve trillion, one hundred twenty-two billion, three hundred twenty-one million, one hundred eleven thousand, one hundred twenty".
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