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424212123000 = 23353428932969
BaseRepresentation
bin1100010110001010000…
…00110100110101111000
31111112222001221122202010
412023011000310311320
523422241300414000
6522514054005520
742435241356621
oct6130500646570
91445861848663
10424212123000
111539a8758806
126a26b9468a0
1331006877943
1416763a58a48
15b07c33ad50
hex62c5034d78

424212123000 has 128 divisors (see below), whose sum is σ = 1323890568000. Its totient is φ = 113093427200.

The previous prime is 424212122897. The next prime is 424212123019. The reversal of 424212123000 is 321212424.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12850516 + ... + 12883484.

Almost surely, 2424212123000 is an apocalyptic number.

424212123000 is a gapful number since it is divisible by the number (40) 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 424212123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661945284000).

424212123000 is an abundant number, since it is smaller than the sum of its proper divisors (899678445000).

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

424212123000 is a wasteful number, since it uses less digits than its factorization.

424212123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37282 (or 37268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 424212123000 its reverse (321212424), we get a palindrome (424533335424).

The spelling of 424212123000 in words is "four hundred twenty-four billion, two hundred twelve million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4289 8578 12867 17156 21445 25734 32969 34312 42890 51468 64335 65938 85780 98907 102936 107225 128670 131876 164845 171560 197814 214450 257340 263752 321675 329690 395628 428900 494535 514680 536125 643350 659380 791256 824225 857800 989070 1072250 1286700 1318760 1608375 1648450 1978140 2144500 2472675 2573400 3216750 3296900 3956280 4121125 4289000 4945350 6433500 6593800 8242250 9890700 12363375 12867000 16484500 19781400 24726750 32969000 49453500 98907000 141404041 282808082 424212123 565616164 707020205 848424246 1131232328 1414040410 1696848492 2121060615 2828080820 3393696984 3535101025 4242121230 5656161640 7070202050 8484242460 10605303075 14140404100 16968484920 17675505125 21210606150 28280808200 35351010250 42421212300 53026515375 70702020500 84842424600 106053030750 141404041000 212106061500 424212123000