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12012332200 = 2352115779463
BaseRepresentation
bin10110010111111110…
…11010010010101000
31011000011022200221121
423023333122102220
5144100124112300
65303545545024
7603451065451
oct131377322250
934004280847
1012012332200
115104714a80
1223b2aa5174
131195891a9b
1481d50c128
154a48a981a
hex2cbfda4a8

12012332200 has 96 divisors (see below), whose sum is σ = 30523671360. Its totient is φ = 4360089600.

The previous prime is 12012332191. The next prime is 12012332203. The reversal of 12012332200 is 223321021.

It is a super-2 number, since 2×120123322002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12012332203) 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 23 ways as a sum of consecutive naturals, for example, 1264669 + ... + 1274131.

It is an arithmetic number, because the mean of its divisors is an integer number (317954910).

Almost surely, 212012332200 is an apocalyptic number.

12012332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261835680).

12012332200 is an abundant number, since it is smaller than the sum of its proper divisors (18511339160).

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

12012332200 is a wasteful number, since it uses less digits than its factorization.

12012332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12012332200 its reverse (223321021), we get a palindrome (12235653221).

The spelling of 12012332200 in words is "twelve billion, twelve million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 577 1100 1154 2200 2308 2885 4616 5770 6347 9463 11540 12694 14425 18926 23080 25388 28850 31735 37852 47315 50776 57700 63470 75704 94630 104093 115400 126940 158675 189260 208186 236575 253880 317350 378520 416372 473150 520465 634700 832744 946300 1040930 1269400 1892600 2081860 2602325 4163720 5204650 5460151 10409300 10920302 20818600 21840604 27300755 43681208 54601510 60061661 109203020 120123322 136503775 218406040 240246644 273007550 300308305 480493288 546015100 600616610 1092030200 1201233220 1501541525 2402466440 3003083050 6006166100 12012332200