Base | Representation |
---|---|
bin | 1010111010100111101110… |
… | …0110001000110011010000 |
3 | 1120111101210210202112021200 |
4 | 2232221323212020303100 |
5 | 3033121012312020422 |
6 | 41305423513351200 |
7 | 2346063002405562 |
oct | 256517346106320 |
9 | 46441723675250 |
10 | 12002212220112 |
11 | 39081229a0594 |
12 | 141a138708500 |
13 | 690a5ab0c47a |
14 | 2d6ca571b332 |
15 | 15c3122532ac |
hex | aea7b988cd0 |
12002212220112 has 120 divisors (see below), whose sum is σ = 35761873984200. Its totient is φ = 3744596459520.
The previous prime is 12002212220099. The next prime is 12002212220149. The reversal of 12002212220112 is 21102221220021.
It is a happy number.
12002212220112 is a `hidden beast` number, since 120 + 0 + 2 + 212 + 220 + 112 = 666.
12002212220112 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 297356452416 + 11704855767696 = 545304^2 + 3421236^2 .
It is a super-3 number, since 3×120022122201123 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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, 13100737 + ... + 13986912.
It is an arithmetic number, because the mean of its divisors is an integer number (298015616535).
Almost surely, 212002212220112 is an apocalyptic number.
12002212220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12002212220112 is an abundant number, since it is smaller than the sum of its proper divisors (23759661764088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002212220112 is a wasteful number, since it uses less digits than its factorization.
12002212220112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27087861 (or 27087852 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 12002212220112 its reverse (21102221220021), we get a palindrome (33104433440133).
The spelling of 12002212220112 in words is "twelve trillion, two billion, two hundred twelve million, two hundred twenty thousand, one hundred twelve".
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