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12023231200 = 2552791031847
BaseRepresentation
bin10110011001010001…
…11111001011100000
31011000220211102120021
423030220333023200
5144110421344300
65305015323224
7603642531121
oct131450771340
934026742507
1012023231200
11510a889612
1223b6680514
131197c098b6
14820b48048
154a580dd1a
hex2cca3f2e0

12023231200 has 144 divisors (see below), whose sum is σ = 30028078080. Its totient is φ = 4699768320.

The previous prime is 12023231167. The next prime is 12023231203. The reversal of 12023231200 is 213232021.

12023231200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023231203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6508677 + ... + 6510523.

It is an arithmetic number, because the mean of its divisors is an integer number (208528320).

Almost surely, 212023231200 is an apocalyptic number.

12023231200 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 12023231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014039040).

12023231200 is an abundant number, since it is smaller than the sum of its proper divisors (18004846880).

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

12023231200 is a wasteful number, since it uses less digits than its factorization.

12023231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12023231200 its reverse (213232021), we get a palindrome (12236463221).

The spelling of 12023231200 in words is "twelve billion, twenty-three million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 103 158 160 200 206 316 395 400 412 515 632 790 800 824 1030 1264 1580 1648 1847 1975 2060 2528 2575 3160 3296 3694 3950 4120 5150 6320 7388 7900 8137 8240 9235 10300 12640 14776 15800 16274 16480 18470 20600 29552 31600 32548 36940 40685 41200 46175 59104 63200 65096 73880 81370 82400 92350 130192 145913 147760 162740 184700 190241 203425 260384 291826 295520 325480 369400 380482 406850 583652 650960 729565 738800 760964 813700 951205 1167304 1301920 1459130 1477600 1521928 1627400 1902410 2334608 2918260 3043856 3254800 3647825 3804820 4669216 4756025 5836520 6087712 6509600 7295650 7609640 9512050 11673040 14591300 15029039 15219280 19024100 23346080 29182600 30058078 30438560 38048200 58365200 60116156 75145195 76096400 116730400 120232312 150290390 152192800 240464624 300580780 375725975 480929248 601161560 751451950 1202323120 1502903900 2404646240 3005807800 6011615600 12023231200