Search a number
-
+
12201222010212 = 2232820734129529
BaseRepresentation
bin1011000110001101000110…
…0000001111010101100100
31121012102111010210100011100
42301203101200033111210
53044401100313311322
641541055232040100
72366336440615344
oct261432140172544
947172433710140
1012201222010212
1139845668153a4
121450818693030
136a6754c3b611
143027840bcd24
151625ad7cbdac
hexb18d180f564

12201222010212 has 36 divisors (see below), whose sum is σ = 30842361115020. Its totient is φ = 4067023464192.

The previous prime is 12201222010169. The next prime is 12201222010213. The reversal of 12201222010212 is 21201022210221.

It is a happy number.

12201222010212 is a `hidden beast` number, since 1 + 220 + 1 + 2 + 220 + 10 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3126764646756 + 9074457363456 = 1768266^2 + 3012384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12201222010213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 889864 + ... + 5019392.

It is an arithmetic number, because the mean of its divisors is an integer number (856732253195).

Almost surely, 212201222010212 is an apocalyptic number.

12201222010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201222010212 is an abundant number, since it is smaller than the sum of its proper divisors (18641139104808).

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

12201222010212 is a wasteful number, since it uses less digits than its factorization.

12201222010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211612 (or 4211607 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201222010212 its reverse (21201022210221), we get a palindrome (33402244220433).

The spelling of 12201222010212 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 82073 164146 246219 328292 492438 738657 984876 1477314 2954628 4129529 8259058 12388587 16518116 24777174 37165761 49554348 74331522 148663044 338922833617 677845667234 1016768500851 1355691334468 2033537001702 3050305502553 4067074003404 6100611005106 12201222010212