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12012313200 = 2435210397187
BaseRepresentation
bin10110010111111110…
…10101101001110000
31011000011021201212220
423023333111221300
5144100123010300
65303545321040
7603450656166
oct131377255160
934004251786
1012012313200
115104701778
1223b2a96180
131195886244
1481d505236
154a48a3da0
hex2cbfd5a70

12012313200 has 120 divisors (see below), whose sum is σ = 38853429888. Its totient is φ = 3172151040.

The previous prime is 12012313177. The next prime is 12012313249. The reversal of 12012313200 is 231321021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012313200.

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, 75007 + ... + 172193.

Almost surely, 212012313200 is an apocalyptic number.

12012313200 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 12012313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426714944).

12012313200 is an abundant number, since it is smaller than the sum of its proper divisors (26841116688).

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

12012313200 is a wasteful number, since it uses less digits than its factorization.

12012313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97311 (or 97300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12012313200 its reverse (231321021), we get a palindrome (12243634221).

The spelling of 12012313200 in words is "twelve billion, twelve million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 103 120 150 200 206 240 300 309 400 412 515 600 618 824 1030 1200 1236 1545 1648 2060 2472 2575 3090 4120 4944 5150 6180 7725 8240 10300 12360 15450 20600 24720 30900 41200 61800 97187 123600 194374 291561 388748 485935 583122 777496 971870 1166244 1457805 1554992 1943740 2332488 2429675 2915610 3887480 4664976 4859350 5831220 7289025 7774960 9718700 10010261 11662440 14578050 19437400 20020522 23324880 29156100 30030783 38874800 40041044 50051305 58312200 60061566 80082088 100102610 116624400 120123132 150153915 160164176 200205220 240246264 250256525 300307830 400410440 480492528 500513050 600615660 750769575 800820880 1001026100 1201231320 1501539150 2002052200 2402462640 3003078300 4004104400 6006156600 12012313200