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12222201204 = 223217149134033
BaseRepresentation
bin10110110000111111…
…11111110101110100
31011112210020011002200
423120133333311310
5200012340414304
65340444104500
7611606665443
oct133037776564
934483204080
1012222201204
115202128734
122451235130
1311ca1c3125
1483d33cd5a
154b8012e39
hex2d87ffd74

12222201204 has 72 divisors (see below), whose sum is σ = 32932153800. Its totient is φ = 3808653312.

The previous prime is 12222201203. The next prime is 12222201223. The reversal of 12222201204 is 40210222221.

It can be written as a sum of positive squares in 4 ways, for example, as 1500012900 + 10722188304 = 38730^2 + 103548^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222201203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24172 + ... + 158204.

It is an arithmetic number, because the mean of its divisors is an integer number (457391025).

Almost surely, 212222201204 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 12222201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16466076900).

12222201204 is an abundant number, since it is smaller than the sum of its proper divisors (20709952596).

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

12222201204 is a wasteful number, since it uses less digits than its factorization.

12222201204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134209 (or 134204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12222201204 its reverse (40210222221), we get a palindrome (52432423425).

The spelling of 12222201204 in words is "twelve billion, two hundred twenty-two million, two hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 149 153 204 298 306 447 596 612 894 1341 1788 2533 2682 5066 5364 7599 10132 15198 22797 30396 45594 91188 134033 268066 402099 536132 804198 1206297 1608396 2278561 2412594 4557122 4825188 6835683 9114244 13671366 19970917 20507049 27342732 39941834 41014098 59912751 79883668 82028196 119825502 179738253 239651004 339505589 359476506 679011178 718953012 1018516767 1358022356 2037033534 3055550301 4074067068 6111100602 12222201204