Base | Representation |
---|---|
bin | 10110100101001011… |
… | …11101100010001000 |
3 | 1011021212202100121121 |
4 | 23102211331202020 |
5 | 144312003220240 |
6 | 5322544045024 |
7 | 606264442501 |
oct | 132245754210 |
9 | 34255670547 |
10 | 12123101320 |
11 | 51611a1500 |
12 | 2424003774 |
13 | 11b2806245 |
14 | 830103ba8 |
15 | 4ae48a04a |
hex | 2d297d888 |
12123101320 has 96 divisors (see below), whose sum is σ = 30072231000. Its totient is φ = 4395156480.
The previous prime is 12123101281. The next prime is 12123101371. The reversal of 12123101320 is 2310132121.
It can be written as a sum of positive squares in 4 ways, for example, as 12046818564 + 76282756 = 109758^2 + 8734^2 .
It is a super-2 number, since 2×121231013202 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12123101294 and 12123101303.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1685572 + ... + 1692748.
Almost surely, 212123101320 is an apocalyptic number.
12123101320 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 12123101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036115500).
12123101320 is an abundant number, since it is smaller than the sum of its proper divisors (17949129680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12123101320 is a wasteful number, since it uses less digits than its factorization.
12123101320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7559 (or 7544 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 12123101320 its reverse (2310132121), we get a palindrome (14433233441).
The spelling of 12123101320 in words is "twelve billion, one hundred twenty-three million, one hundred one thousand, three hundred twenty".
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