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122120012200 = 23521813373481
BaseRepresentation
bin111000110111011101…
…0111000000110101000
3102200012202100101111211
41301232322320012220
54000100210342300
6132033503402504
711552150655664
oct1615672700650
9380182311454
10122120012200
114787762171a
121b8018b3434
13b692491064
145ca6b218a4
15329b1724ba
hex1c6eeb81a8

122120012200 has 48 divisors (see below), whose sum is σ = 285497781660. Its totient is φ = 48578112000.

The previous prime is 122120012191. The next prime is 122120012239. The reversal of 122120012200 is 2210021221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 32906685604 + 89213326596 = 181402^2 + 298686^2 .

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, 1650541 + ... + 1722940.

Almost surely, 2122120012200 is an apocalyptic number.

122120012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120012200 is an abundant number, since it is smaller than the sum of its proper divisors (163377769460).

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

122120012200 is a wasteful number, since it uses less digits than its factorization.

122120012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373678 (or 3373669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122120012200 its reverse (2210021221), we get a palindrome (124330033421).

The spelling of 122120012200 in words is "one hundred twenty-two billion, one hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3620 4525 7240 9050 18100 36200 3373481 6746962 13493924 16867405 26987848 33734810 67469620 84337025 134939240 168674050 337348100 610600061 674696200 1221200122 2442400244 3053000305 4884800488 6106000610 12212001220 15265001525 24424002440 30530003050 61060006100 122120012200