Search a number
-
+
12212210208 = 25311108710639
BaseRepresentation
bin10110101111110011…
…11000101000100000
31011112002102120000210
423113321320220200
5200002311211313
65335450014120
7611426034252
oct132771705040
934462376023
1012212210208
1151a7524310
122449a17340
1311c81056b3
1483bc9bcd2
154b71dc9c3
hex2d7e78a20

12212210208 has 96 divisors (see below), whose sum is σ = 35006791680. Its totient is φ = 3696917760.

The previous prime is 12212210207. The next prime is 12212210221. The reversal of 12212210208 is 80201221221.

12212210208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12212210207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142553 + ... + 1153191.

It is an arithmetic number, because the mean of its divisors is an integer number (364654080).

Almost surely, 212212210208 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 12212210208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503395840).

12212210208 is an abundant number, since it is smaller than the sum of its proper divisors (22794581472).

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

12212210208 is a wasteful number, since it uses less digits than its factorization.

12212210208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12212210208 its reverse (80201221221), we get a palindrome (92413431429).

The spelling of 12212210208 in words is "twelve billion, two hundred twelve million, two hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1087 2174 3261 4348 6522 8696 10639 11957 13044 17392 21278 23914 26088 31917 34784 35871 42556 47828 52176 63834 71742 85112 95656 104352 117029 127668 143484 170224 191312 234058 255336 286968 340448 351087 382624 468116 510672 573936 702174 936232 1021344 1147872 1404348 1872464 2808696 3744928 5617392 11234784 11564593 23129186 34693779 46258372 69387558 92516744 127210523 138775116 185033488 254421046 277550232 370066976 381631569 508842092 555100464 763263138 1017684184 1110200928 1526526276 2035368368 3053052552 4070736736 6106105104 12212210208