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121222011210201 = 32114129864994139
BaseRepresentation
bin11011100100000000110010…
…111010101100100111011001
3120220012201012101110110220100
4123210000302322230213121
5111342100134332211301
61105452342334050013
734351000305115536
oct3344006272544731
9526181171413810
10121222011210201
1135696a6a093310
121171977a349909
135284256c8ccc5
1421d1268a15d8d
15e033e1936286
hex6e4032eac9d9

121222011210201 has 24 divisors (see below), whose sum is σ = 195675441605280. Its totient is φ = 71675985931200.

The previous prime is 121222011210163. The next prime is 121222011210221. The reversal of 121222011210201 is 102012110222121.

121222011210201 is a `hidden beast` number, since 1 + 21 + 2 + 220 + 11 + 210 + 201 = 666.

It is not a de Polignac number, because 121222011210201 - 211 = 121222011208153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121222011210221) 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 23 ways as a sum of consecutive naturals, for example, 14932493011 + ... + 14932501128.

It is an arithmetic number, because the mean of its divisors is an integer number (8153143400220).

Almost surely, 2121222011210201 is an apocalyptic number.

121222011210201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121222011210201 is a deficient number, since it is larger than the sum of its proper divisors (74453430395079).

121222011210201 is a wasteful number, since it uses less digits than its factorization.

121222011210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29864994197 (or 29864994194 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121222011210201 its reverse (102012110222121), we get a palindrome (223234121432322).

It can be divided in two parts, 1212220 and 11210201, that added together give a palindrome (12422421).

The spelling of 121222011210201 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, eleven million, two hundred ten thousand, two hundred one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 29864994139 89594982417 268784947251 328514935529 985544806587 1224464759699 2956634419761 3673394279097 11020182837291 13469112356689 40407337070067 121222011210201