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121012323200 = 2752109346939
BaseRepresentation
bin111000010110011100…
…1011000001110000000
3102120100120000221212022
41300230321120032000
53440313123320300
6131331534021012
711512540526666
oct1605471301600
9376316027768
10121012323200
114735933556a
121b552947768
13b546b4a692
145bdd980c36
153233cbd285
hex1c2ce58380

121012323200 has 96 divisors (see below), whose sum is σ = 301681677000. Its totient is φ = 47960709120.

The previous prime is 121012323191. The next prime is 121012323209. The reversal of 121012323200 is 2323210121.

It is an interprime number because it is at equal distance from previous prime (121012323191) and next prime (121012323209).

It is a super-3 number, since 3×1210123232003 (a number of 34 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 (121012323209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175331 + ... + 522269.

Almost surely, 2121012323200 is an apocalyptic number.

121012323200 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 121012323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150840838500).

121012323200 is an abundant number, since it is smaller than the sum of its proper divisors (180669353800).

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

121012323200 is a wasteful number, since it uses less digits than its factorization.

121012323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347072 (or 347055 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 121012323200 its reverse (2323210121), we get a palindrome (123335533321).

The spelling of 121012323200 in words is "one hundred twenty-one billion, twelve million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 128 160 200 218 320 400 436 545 640 800 872 1090 1600 1744 2180 2725 3200 3488 4360 5450 6976 8720 10900 13952 17440 21800 34880 43600 69760 87200 174400 346939 348800 693878 1387756 1734695 2775512 3469390 5551024 6938780 8673475 11102048 13877560 17346950 22204096 27755120 34693900 37816351 44408192 55510240 69387800 75632702 111020480 138775600 151265404 189081755 222040960 277551200 302530808 378163510 555102400 605061616 756327020 945408775 1110204800 1210123232 1512654040 1890817550 2420246464 3025308080 3781635100 4840492928 6050616160 7563270200 12101232320 15126540400 24202464640 30253080800 60506161600 121012323200