Base | Representation |
---|---|
bin | 1011001000000000001101… |
… | …0010010110001010000000 |
3 | 1121022101020121120110102120 |
4 | 2302000003102112022000 |
5 | 3100402341213000000 |
6 | 42003205334044240 |
7 | 2401512246321210 |
oct | 262000322261200 |
9 | 47271217513376 |
10 | 12232122000000 |
11 | 3996682a84041 |
12 | 1456800aa9680 |
13 | 6a963a8c5546 |
14 | 304075c80240 |
15 | 1632bb42e6a0 |
hex | b2003496280 |
12232122000000 has 896 divisors, whose sum is σ = 46656752785920. Its totient is φ = 2781427200000.
The previous prime is 12232121999921. The next prime is 12232122000011. The reversal of 12232122000000 is 22123221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (896).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9533999359 + ... + 9534000641.
Almost surely, 212232122000000 is an apocalyptic number.
12232122000000 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 12232122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328376392960).
12232122000000 is an abundant number, since it is smaller than the sum of its proper divisors (34424630785920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12232122000000 is an frugal number, since it uses more digits than its factorization.
12232122000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1564 (or 1527 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
Adding to 12232122000000 its reverse (22123221), we get a palindrome (12232144123221).
The spelling of 12232122000000 in words is "twelve trillion, two hundred thirty-two billion, one hundred twenty-two million", and thus it is an aban number.
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