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12300233311200 = 253525125097213
BaseRepresentation
bin1011001011111101111100…
…0010011000001111100000
31121112220001102000120100010
42302333133002120033200
53103011334211424300
642054352115524520
72406443151031422
oct262773702301740
947486042016303
1012300233311200
113a1255504627a
121467a4b2b9740
136b2ba3969953
14307497ad4812
15164e55d18a50
hexb2fdf0983e0

12300233311200 has 72 divisors (see below), whose sum is σ = 40037259435768. Its totient is φ = 3280062215680.

The previous prime is 12300233311189. The next prime is 12300233311237. The reversal of 12300233311200 is 211333200321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2562546207 + ... + 2562551006.

It is an arithmetic number, because the mean of its divisors is an integer number (556073047719).

Almost surely, 212300233311200 is an apocalyptic number.

12300233311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300233311200 is an abundant number, since it is smaller than the sum of its proper divisors (27737026124568).

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

12300233311200 is a wasteful number, since it uses less digits than its factorization.

12300233311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125097236 (or 5125097223 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12300233311200 its reverse (211333200321), we get a palindrome (12511566511521).

The spelling of 12300233311200 in words is "twelve trillion, three hundred billion, two hundred thirty-three million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5125097213 10250194426 15375291639 20500388852 25625486065 30750583278 41000777704 51250972130 61501166556 76876458195 82001555408 102501944260 123002333112 128127430325 153752916390 164003110816 205003888520 246004666224 256254860650 307505832780 384382290975 410007777040 492009332448 512509721300 615011665560 768764581950 820015554080 1025019442600 1230023331120 1537529163900 2050038885200 2460046662240 3075058327800 4100077770400 6150116655600 12300233311200