Base | Representation |
---|---|
bin | 1010111010100111010110… |
… | …0001000000010000101000 |
3 | 1120111101112200210221020120 |
4 | 2232221311201000100220 |
5 | 3033120310203223422 |
6 | 41305405431123240 |
7 | 2346060323345340 |
oct | 256516541002050 |
9 | 46441480727216 |
10 | 12002110211112 |
11 | 390808035772a |
12 | 141a10a513520 |
13 | 690a42944408 |
14 | 2d6c95d65d20 |
15 | 15c30830345c |
hex | aea75840428 |
12002110211112 has 128 divisors (see below), whose sum is σ = 35790459033600. Its totient is φ = 3279367542528.
The previous prime is 12002110211111. The next prime is 12002110211123. The reversal of 12002110211112 is 21111201120021.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 12002110211091 and 12002110211100.
It is not an unprimeable number, because it can be changed into a prime (12002110211111) 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, 17582439 + ... + 18252297.
It is an arithmetic number, because the mean of its divisors is an integer number (279612961200).
Almost surely, 212002110211112 is an apocalyptic number.
12002110211112 is a gapful number since it is divisible by the number (12) 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 12002110211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895229516800).
12002110211112 is an abundant number, since it is smaller than the sum of its proper divisors (23788348822488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002110211112 is a wasteful number, since it uses less digits than its factorization.
12002110211112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 674535 (or 674531 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 12002110211112 its reverse (21111201120021), we get a palindrome (33113311331133).
The spelling of 12002110211112 in words is "twelve trillion, two billion, one hundred ten million, two hundred eleven thousand, one hundred twelve".
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