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121122221000 = 23531159186629
BaseRepresentation
bin111000011001101110…
…0100110101111001000
3102120122012211100022012
41300303130212233020
53441024242033000
6131350501315052
711515343614514
oct1606334465710
9376565740265
10121122221000
11474053773a0
121b583705a88
13b563848371
145c103cb144
15323d77a735
hex1c33726bc8

121122221000 has 128 divisors (see below), whose sum is σ = 314434224000. Its totient is φ = 43297696000.

The previous prime is 121122220963. The next prime is 121122221063. The reversal of 121122221000 is 122221121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555686 + ... + 742314.

It is an arithmetic number, because the mean of its divisors is an integer number (2456517375).

Almost surely, 2121122221000 is an apocalyptic number.

121122221000 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 121122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157217112000).

121122221000 is an abundant number, since it is smaller than the sum of its proper divisors (193312003000).

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

121122221000 is a wasteful number, since it uses less digits than its factorization.

121122221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186720 (or 186706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121122221000 its reverse (122221121), we get a palindrome (121244442121).

The spelling of 121122221000 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 125 200 220 236 250 275 295 440 472 500 550 590 649 1000 1100 1180 1298 1375 1475 2200 2360 2596 2750 2950 3245 5192 5500 5900 6490 7375 11000 11800 12980 14750 16225 25960 29500 32450 59000 64900 81125 129800 162250 186629 324500 373258 649000 746516 933145 1493032 1866290 2052919 3732580 4105838 4665725 7465160 8211676 9331450 10264595 11011111 16423352 18662900 20529190 22022222 23328625 37325800 41058380 44044444 46657250 51322975 55055555 82116760 88088888 93314500 102645950 110111110 121122221 186629000 205291900 220222220 242244442 256614875 275277775 410583800 440444440 484488884 513229750 550555550 605611105 968977768 1026459500 1101111100 1211222210 1376388875 2052919000 2202222200 2422444420 2752777750 3028055525 4844888840 5505555500 6056111050 11011111000 12112222100 15140277625 24224444200 30280555250 60561110500 121122221000