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12002201200 = 24521119143567
BaseRepresentation
bin10110010110110001…
…10000111001110000
31010222110020222211101
423023120300321300
5144040030414300
65302544454144
7603266012143
oct131330607160
933873228741
1012002201200
1150a9a25450
1223ab61a354
131193755702
1481c03205a
154a3a57b6a
hex2cb630e70

12002201200 has 120 divisors (see below), whose sum is σ = 33112523520. Its totient is φ = 4134700800.

The previous prime is 12002201171. The next prime is 12002201207. The reversal of 12002201200 is 210220021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002201207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11817 + ... + 155383.

It is an arithmetic number, because the mean of its divisors is an integer number (275937696).

Almost surely, 212002201200 is an apocalyptic number.

12002201200 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 12002201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556261760).

12002201200 is an abundant number, since it is smaller than the sum of its proper divisors (21110322320).

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

12002201200 is a wasteful number, since it uses less digits than its factorization.

12002201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143615 (or 143604 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002201200 its reverse (210220021), we get a palindrome (12212421221).

The spelling of 12002201200 in words is "twelve billion, two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 83600 143567 287134 574268 717835 1148536 1435670 1579237 2297072 2727773 2871340 3158474 3589175 5455546 5742680 6316948 7178350 7896185 10911092 11485360 12633896 13638865 14356700 15792370 21822184 25267792 27277730 28713400 30005503 31584740 39480925 43644368 54555460 57426800 60011006 63169480 68194325 78961850 109110920 120022012 126338960 136388650 150027515 157923700 218221840 240044024 272777300 300055030 315847400 480088048 545554600 600110060 631694800 750137575 1091109200 1200220120 1500275150 2400440240 3000550300 6001100600 12002201200