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122303201220 = 22325679462229
BaseRepresentation
bin111000111100111010…
…1101011111111000100
3102200200112001100121100
41301321311223333010
54000434104414340
6132104010020100
711556534025524
oct1617165537704
9380615040540
10122303201220
1147960a72302
121b853117630
13b6c1410625
145cc31a9684
1532ac2aa830
hex1c79d6bfc4

122303201220 has 36 divisors (see below), whose sum is σ = 370986377580. Its totient is φ = 32614186944.

The previous prime is 122303201183. The next prime is 122303201221. The reversal of 122303201220 is 22102303221.

122303201220 is a `hidden beast` number, since 1 + 223 + 0 + 320 + 122 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69781562244 + 52521638976 = 264162^2 + 229176^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122303201193 and 122303201202.

It is not an unprimeable number, because it can be changed into a prime (122303201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339730935 + ... + 339731294.

It is an arithmetic number, because the mean of its divisors is an integer number (10305177155).

Almost surely, 2122303201220 is an apocalyptic number.

122303201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122303201220 is an abundant number, since it is smaller than the sum of its proper divisors (248683176360).

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

122303201220 is a wasteful number, since it uses less digits than its factorization.

122303201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679462244 (or 679462239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122303201220 its reverse (22102303221), we get a palindrome (144405504441).

The spelling of 122303201220 in words is "one hundred twenty-two billion, three hundred three million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 679462229 1358924458 2038386687 2717848916 3397311145 4076773374 6115160061 6794622290 8153546748 10191933435 12230320122 13589244580 20383866870 24460640244 30575800305 40767733740 61151600610 122303201220