Base | Representation |
---|---|
bin | 1010111010100111010100… |
… | …0001101110100001101100 |
3 | 1120111101112010101101012012 |
4 | 2232221311001232201230 |
5 | 3033120301103341022 |
6 | 41305404535300352 |
7 | 2346060163556300 |
oct | 256516501564154 |
9 | 46441463341165 |
10 | 12002102012012 |
11 | 3908076767612 |
12 | 141a10781a6b8 |
13 | 690a41033488 |
14 | 2d6c94c2dd00 |
15 | 15c307733de2 |
hex | aea7506e86c |
12002102012012 has 72 divisors (see below), whose sum is σ = 24969440147904. Its totient is φ = 5030938633728.
The previous prime is 12002102011993. The next prime is 12002102012063. The reversal of 12002102012012 is 21021020120021.
12002102012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
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, 13317188 + ... + 14189844.
It is an arithmetic number, because the mean of its divisors is an integer number (346797779832).
Almost surely, 212002102012012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12002102012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484720073952).
12002102012012 is an abundant number, since it is smaller than the sum of its proper divisors (12967338135892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002102012012 is a wasteful number, since it uses less digits than its factorization.
12002102012012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 874215 (or 874206 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 12002102012012 its reverse (21021020120021), we get a palindrome (33023122132033).
The spelling of 12002102012012 in words is "twelve trillion, two billion, one hundred two million, twelve thousand, twelve".
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