Search a number
-
+
12001201102212 = 2237831721342671
BaseRepresentation
bin1010111010100011111101…
…0101000001110110000100
31120111022012100011102021120
42232220333111001312010
53033111424440232322
641305135313513540
72346025644141150
oct256507725016604
946438170142246
1012001201102212
113907754173763
121419ab5b728b0
136909294ab95a
142d6c0b318060
1515c2a35c7a5c
hexaea3f541d84

12001201102212 has 48 divisors (see below), whose sum is σ = 32388783716352. Its totient is φ = 3387602374560.

The previous prime is 12001201102171. The next prime is 12001201102273. The reversal of 12001201102212 is 21220110210021.

12001201102212 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 = 12001201102191 and 12001201102200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860664364 + ... + 860678307.

It is an arithmetic number, because the mean of its divisors is an integer number (674766327424).

Almost surely, 212001201102212 is an apocalyptic number.

12001201102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001201102212 is an abundant number, since it is smaller than the sum of its proper divisors (20387582614140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12001201102212 is a wasteful number, since it uses less digits than its factorization.

12001201102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721342768 (or 1721342766 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001201102212 its reverse (21220110210021), we get a palindrome (33221311312233).

The spelling of 12001201102212 in words is "twelve trillion, one billion, two hundred one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 1721342671 3442685342 5164028013 6885370684 10328056026 12049398697 20656112052 24098797394 36148196091 48197594788 72296392182 142871441693 144592784364 285742883386 428614325079 571485766772 857228650158 1000100091851 1714457300316 2000200183702 3000300275553 4000400367404 6000600551106 12001201102212