Search a number
-
+
12011001200 = 24521115311783
BaseRepresentation
bin10110010111110100…
…10101010101110000
31011000001211002011022
423023322111111300
5144044304014300
65303501235012
7603433553132
oct131372252560
934001732138
1012011001200
115103995a80
1223b2562a68
131195517003
1481d283052
154a46e5285
hex2cbe95570

12011001200 has 120 divisors (see below), whose sum is σ = 31517970816. Its totient is φ = 4362336000.

The previous prime is 12011001173. The next prime is 12011001217. The reversal of 12011001200 is 210011021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6735509 + ... + 6737291.

Almost surely, 212011001200 is an apocalyptic number.

12011001200 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 12011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758985408).

12011001200 is an abundant number, since it is smaller than the sum of its proper divisors (19506969616).

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

12011001200 is a wasteful number, since it uses less digits than its factorization.

12011001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12011001200 its reverse (210011021), we get a palindrome (12221012221).

The spelling of 12011001200 in words is "twelve billion, eleven million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1531 1783 2200 3062 3566 4400 6124 7132 7655 8915 12248 14264 15310 16841 17830 19613 24496 28528 30620 33682 35660 38275 39226 44575 61240 67364 71320 76550 78452 84205 89150 98065 122480 134728 142640 153100 156904 168410 178300 196130 269456 306200 313808 336820 356600 392260 421025 490325 612400 673640 713200 784520 842050 980650 1347280 1569040 1684100 1961300 2729773 3368200 3922600 5459546 6736400 7845200 10919092 13648865 21838184 27297730 30027503 43676368 54595460 60055006 68244325 109190920 120110012 136488650 150137515 218381840 240220024 272977300 300275030 480440048 545954600 600550060 750687575 1091909200 1201100120 1501375150 2402200240 3002750300 6005500600 12011001200