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122101020200 = 23524513135277
BaseRepresentation
bin111000110110111001…
…0011011011000101000
3102200011102121111101102
41301231302123120220
54000030330121300
6132031544340532
711551530355505
oct1615562333050
9380142544342
10122101020200
114786792a755
121b7b7474748
13b68b5716a3
145ca43ba4ac
1532996700d5
hex1c6dc9b628

122101020200 has 48 divisors (see below), whose sum is σ = 283949874780. Its totient is φ = 48829224960.

The previous prime is 122101020191. The next prime is 122101020221. The reversal of 122101020200 is 2020101221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10876804 + 122090143396 = 3298^2 + 349414^2 .

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 11 ways as a sum of consecutive naturals, for example, 834962 + ... + 970238.

Almost surely, 2122101020200 is an apocalyptic number.

122101020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101020200 is an abundant number, since it is smaller than the sum of its proper divisors (161848854580).

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

122101020200 is a wasteful number, since it uses less digits than its factorization.

122101020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139806 (or 139797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122101020200 its reverse (2020101221), we get a palindrome (124121121421).

The spelling of 122101020200 in words is "one hundred twenty-two billion, one hundred one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4513 9026 18052 22565 36104 45130 90260 112825 135277 180520 225650 270554 451300 541108 676385 902600 1082216 1352770 2705540 3381925 5411080 6763850 13527700 27055400 610505101 1221010202 2442020404 3052525505 4884040808 6105051010 12210102020 15262627525 24420204040 30525255050 61050510100 122101020200