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12143415200 = 255272309781
BaseRepresentation
bin10110100111100110…
…11100111110100000
31011100021222102000112
423103303130332200
5144332203241300
65324551310452
7606632216600
oct132363347640
934307872015
1012143415200
115171706634
12242a97b428
1311b6a994a7
14832ab0c00
154b114de35
hex2d3cdcfa0

12143415200 has 108 divisors (see below), whose sum is σ = 34485242022. Its totient is φ = 4163443200.

The previous prime is 12143415199. The next prime is 12143415209. The reversal of 12143415200 is 251434121.

It can be written as a sum of positive squares in 3 ways, for example, as 8542935184 + 3600480016 = 92428^2 + 60004^2 .

It is not an unprimeable number, because it can be changed into a prime (12143415209) 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 17 ways as a sum of consecutive naturals, for example, 115691 + ... + 194090.

Almost surely, 212143415200 is an apocalyptic number.

12143415200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12143415200 is an abundant number, since it is smaller than the sum of its proper divisors (22341826822).

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

12143415200 is a wasteful number, since it uses less digits than its factorization.

12143415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309815 (or 309795 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 12143415200 its reverse (251434121), we get a palindrome (12394849321).

The spelling of 12143415200 in words is "twelve billion, one hundred forty-three million, four hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 9800 19600 39200 309781 619562 1239124 1548905 2168467 2478248 3097810 4336934 4956496 6195620 7744525 8673868 9912992 10842335 12391240 15179269 15489050 17347736 21684670 24782480 30358538 30978100 34695472 43369340 49564960 54211675 60717076 61956200 69390944 75896345 86738680 108423350 121434152 123912400 151792690 173477360 216846700 242868304 247824800 303585380 346954720 379481725 433693400 485736608 607170760 758963450 867386800 1214341520 1517926900 1734773600 2428683040 3035853800 6071707600 12143415200