Base | Representation |
---|---|
bin | 1011000001011110101000… |
… | …1001000111101011101010 |
3 | 1120220122220210120202010000 |
4 | 2300113222021013223222 |
5 | 3042033310414020242 |
6 | 41435510531003430 |
7 | 2360433444463536 |
oct | 260275211075352 |
9 | 46818823522100 |
10 | 12120031001322 |
11 | 3953092593752 |
12 | 1438b39a39576 |
13 | 69bbb613c91a |
14 | 2dc8810b4bc6 |
15 | 16040a99ba4c |
hex | b05ea247aea |
12120031001322 has 80 divisors (see below), whose sum is σ = 27203567269032. Its totient is φ = 4033212600960.
The previous prime is 12120031001321. The next prime is 12120031001333. The reversal of 12120031001322 is 22310013002121.
12120031001322 is a `hidden beast` number, since 1 + 21 + 200 + 310 + 0 + 132 + 2 = 666.
12120031001322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 8857343824641 + 3262687176681 = 2976129^2 + 1806291^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12120031001295 and 12120031001304.
It is not an unprimeable number, because it can be changed into a prime (12120031001321) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417615172 + ... + 417644192.
Almost surely, 212120031001322 is an apocalyptic number.
12120031001322 is an abundant number, since it is smaller than the sum of its proper divisors (15083536267710).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12120031001322 is a wasteful number, since it uses less digits than its factorization.
12120031001322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33285 (or 33276 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 12120031001322 its reverse (22310013002121), we get a palindrome (34430044003443).
The spelling of 12120031001322 in words is "twelve trillion, one hundred twenty billion, thirty-one million, one thousand, three hundred twenty-two".
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