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12000023200 = 2552113533863
BaseRepresentation
bin10110010110100000…
…11101001010100000
31010222022011100011201
423023100131022200
5144034001220300
65302430050544
7603241341244
oct131320351240
933868140151
1012000023200
1150a8778050
1223aa949a54
131193172259
1481ba26424
154a377766a
hex2cb41d2a0

12000023200 has 144 divisors (see below), whose sum is σ = 32057073216. Its totient is φ = 4350156800.

The previous prime is 12000023183. The next prime is 12000023207. The reversal of 12000023200 is 232000021.

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

It is not an unprimeable number, because it can be changed into a prime (12000023207) 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, 3104469 + ... + 3108331.

It is an arithmetic number, because the mean of its divisors is an integer number (222618564).

Almost surely, 212000023200 is an apocalyptic number.

12000023200 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 12000023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028536608).

12000023200 is an abundant number, since it is smaller than the sum of its proper divisors (20057050016).

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

12000023200 is a wasteful number, since it uses less digits than its factorization.

12000023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12000023200 its reverse (232000021), we get a palindrome (12232023221).

The spelling of 12000023200 in words is "twelve billion, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 353 400 440 550 706 800 880 1100 1412 1760 1765 2200 2824 3530 3863 3883 4400 5648 7060 7726 7766 8800 8825 11296 14120 15452 15532 17650 19315 19415 28240 30904 31064 35300 38630 38830 42493 56480 61808 62128 70600 77260 77660 84986 96575 97075 123616 124256 141200 154520 155320 169972 193150 194150 212465 282400 309040 310640 339944 386300 388300 424930 618080 621280 679888 772600 776600 849860 1062325 1359776 1363639 1545200 1553200 1699720 2124650 2727278 3090400 3106400 3399440 4249300 5454556 6798880 6818195 8498600 10909112 13636390 15000029 16997200 21818224 27272780 30000058 33994400 34090975 43636448 54545560 60000116 68181950 75000145 109091120 120000232 136363900 150000290 218182240 240000464 272727800 300000580 375000725 480000928 545455600 600001160 750001450 1090911200 1200002320 1500002900 2400004640 3000005800 6000011600 12000023200