Search a number
-
+
122102222200 = 23527587148579
BaseRepresentation
bin111000110110111011…
…1000000110101111000
3102200011111212120012221
41301231313000311320
54000031132102300
6132032030213424
711551543523050
oct1615567006570
9380144776187
10122102222200
1147868580842
121b7b7954274
13b68b8a282a
145ca4610560
15329980b31a
hex1c6ddc0d78

122102222200 has 96 divisors (see below), whose sum is σ = 324997948800. Its totient is φ = 41792019840.

The previous prime is 122102222173. The next prime is 122102222273. The reversal of 122102222200 is 2222201221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747511 + ... + 896089.

It is an arithmetic number, because the mean of its divisors is an integer number (3385395300).

Almost surely, 2122102222200 is an apocalyptic number.

122102222200 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 122102222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162498974400).

122102222200 is an abundant number, since it is smaller than the sum of its proper divisors (202895726600).

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

122102222200 is a wasteful number, since it uses less digits than its factorization.

122102222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149189 (or 149180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122102222200 its reverse (2222201221), we get a palindrome (124324423421).

The spelling of 122102222200 in words is "one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 587 700 1174 1400 2348 2935 4109 4696 5870 8218 11740 14675 16436 20545 23480 29350 32872 41090 58700 82180 102725 117400 148579 164360 205450 297158 410900 594316 742895 821800 1040053 1188632 1485790 2080106 2971580 3714475 4160212 5200265 5943160 7428950 8320424 10400530 14857900 20801060 26001325 29715800 41602120 52002650 87215873 104005300 174431746 208010600 348863492 436079365 610511111 697726984 872158730 1221022222 1744317460 2180396825 2442044444 3052555555 3488634920 4360793650 4884088888 6105111110 8721587300 12210222220 15262777775 17443174600 24420444440 30525555550 61051111100 122102222200