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122230122201 = 331113713012309
BaseRepresentation
bin111000111010101111…
…0111010011011011001
3102200111102112120001000
41301311132322123121
54000311402402301
6132052435415213
711554655616255
oct1616536723331
9380442476030
10122230122201
1147923798a20
121b832754509
13b6ac2344c5
145cb75c5265
1532a5b72786
hex1c757ba6d9

122230122201 has 64 divisors (see below), whose sum is σ = 199224748800. Its totient is φ = 73449792000.

The previous prime is 122230122199. The next prime is 122230122263. The reversal of 122230122201 is 102221032221.

It is not a de Polignac number, because 122230122201 - 21 = 122230122199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122230122901) 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 63 ways as a sum of consecutive naturals, for example, 52935235 + ... + 52937543.

It is an arithmetic number, because the mean of its divisors is an integer number (3112886700).

Almost surely, 2122230122201 is an apocalyptic number.

122230122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122230122201 is a deficient number, since it is larger than the sum of its proper divisors (76994626599).

122230122201 is a wasteful number, since it uses less digits than its factorization.

122230122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122230122201 its reverse (102221032221), we get a palindrome (224451154422).

The spelling of 122230122201 in words is "one hundred twenty-two billion, two hundred thirty million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 27 33 99 137 297 411 1233 1301 1507 2309 3699 3903 4521 6927 11709 13563 14311 20781 25399 35127 40689 42933 62343 76197 128799 178237 228591 316333 386397 534711 685773 948999 1604133 1960607 2846997 3004009 3479663 4812399 5881821 8540991 9012027 10438989 17645463 27036081 31316967 33044099 52936389 81108243 93950901 99132297 297396891 411549233 892190673 1234647699 3703943097 4527041563 11111829291 13581124689 40743374067 122230122201