Base | Representation |
---|---|
bin | 1011000000010100000011… |
… | …1011011111111100101100 |
3 | 1120211202020122200212202220 |
4 | 2300011000323133330230 |
5 | 3041221311111241022 |
6 | 41422400250515340 |
7 | 2356124403542364 |
oct | 260050073377454 |
9 | 46752218625686 |
10 | 12100012212012 |
11 | 394564a4a0a7a |
12 | 1435091735b50 |
13 | 69a0458b696a |
14 | 2db9024db9a4 |
15 | 15eb3826d85c |
hex | b0140edff2c |
12100012212012 has 96 divisors (see below), whose sum is σ = 30088578981888. Its totient is φ = 3771471657984.
The previous prime is 12100012212007. The next prime is 12100012212031. The reversal of 12100012212012 is 21021221000121.
12100012212012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 12100012211982 and 12100012212000.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19299733 + ... + 19916819.
It is an arithmetic number, because the mean of its divisors is an integer number (313422697728).
Almost surely, 212100012212012 is an apocalyptic number.
12100012212012 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 12100012212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044289490944).
12100012212012 is an abundant number, since it is smaller than the sum of its proper divisors (17988566769876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12100012212012 is a wasteful number, since it uses less digits than its factorization.
12100012212012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 617735 (or 617733 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 12100012212012 its reverse (21021221000121), we get a palindrome (33121233212133).
The spelling of 12100012212012 in words is "twelve trillion, one hundred billion, twelve million, two hundred twelve thousand, twelve".
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