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12123333030200 = 2352721237074799
BaseRepresentation
bin1011000001101010111011…
…1101010111000100111000
31120220222102220221012011212
42300122232331113010320
53042112041223431300
641441214324542252
72360611331326100
oct260325675270470
946828386835155
1012123333030200
113954527493937
1214396bb851988
1369c2c1282572
142dcab585c200
15160550800935
hexb06aef57138

12123333030200 has 72 divisors (see below), whose sum is σ = 32788667574000. Its totient is φ = 4156571321280.

The previous prime is 12123333030143. The next prime is 12123333030203. The reversal of 12123333030200 is 203033332121.

It is a super-3 number, since 3×121233330302003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123333030203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 618527600 + ... + 618547199.

It is an arithmetic number, because the mean of its divisors is an integer number (455398160750).

Almost surely, 212123333030200 is an apocalyptic number.

12123333030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123333030200 is an abundant number, since it is smaller than the sum of its proper divisors (20665334543800).

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

12123333030200 is a wasteful number, since it uses less digits than its factorization.

12123333030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237074829 (or 1237074813 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12123333030200 its reverse (203033332121), we get a palindrome (12326366362321).

The spelling of 12123333030200 in words is "twelve trillion, one hundred twenty-three billion, three hundred thirty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 1237074799 2474149598 4948299196 6185373995 8659523593 9896598392 12370747990 17319047186 24741495980 30926869975 34638094372 43297617965 49482991960 60616665151 61853739950 69276188744 86595235930 121233330302 123707479900 173190471860 216488089825 242466660604 247414959800 303083325755 346380943720 432976179650 484933321208 606166651510 865952359300 1212333303020 1515416628775 1731904718600 2424666606040 3030833257550 6061666515100 12123333030200