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12102143200 = 2552710121397
BaseRepresentation
bin10110100010101100…
…00000110011100000
31011020102022120110221
423101112000303200
5144241122040300
65320514532424
7605621343220
oct132126006340
934212276427
1012102143200
115150387344
122418b97114
1311ab3789a4
1482b40a080
154ac6ea31a
hex2d1580ce0

12102143200 has 144 divisors (see below), whose sum is σ = 34100879904. Its totient is φ = 4108032000.

The previous prime is 12102143177. The next prime is 12102143237. The reversal of 12102143200 is 234120121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554902 + ... + 576298.

It is an arithmetic number, because the mean of its divisors is an integer number (236811666).

Almost surely, 212102143200 is an apocalyptic number.

12102143200 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 12102143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050439952).

12102143200 is an abundant number, since it is smaller than the sum of its proper divisors (21998736704).

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

12102143200 is a wasteful number, since it uses less digits than its factorization.

12102143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21525 (or 21512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12102143200 its reverse (234120121), we get a palindrome (12336263321).

The spelling of 12102143200 in words is "twelve billion, one hundred two million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 101 112 140 160 175 200 202 224 280 350 400 404 505 560 700 707 800 808 1010 1120 1400 1414 1616 2020 2525 2800 2828 3232 3535 4040 5050 5600 5656 7070 8080 10100 11312 14140 16160 17675 20200 21397 22624 28280 35350 40400 42794 56560 70700 80800 85588 106985 113120 141400 149779 171176 213970 282800 299558 342352 427940 534925 565600 599116 684704 748895 855880 1069850 1198232 1497790 1711760 2139700 2161097 2396464 2995580 3423520 3744475 4279400 4322194 4792928 5991160 7488950 8558800 8644388 10805485 11982320 14977900 15127679 17117600 17288776 21610970 23964640 29955800 30255358 34577552 43221940 54027425 59911600 60510716 69155104 75638395 86443880 108054850 119823200 121021432 151276790 172887760 216109700 242042864 302553580 345775520 378191975 432219400 484085728 605107160 756383950 864438800 1210214320 1512767900 1728877600 2420428640 3025535800 6051071600 12102143200