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122001201221 = 534575037001
BaseRepresentation
bin111000110011111010…
…1101001100001000101
3102122220110210011111012
41301213311221201011
53444324301414341
6132014021052005
711546206046204
oct1614765514105
9378813704435
10122001201221
1147816552229
121b789b57005
13b6739923c3
145c9503523b
153290a040eb
hex1c67d69845

122001201221 has 8 divisors (see below), whose sum is σ = 124575133464. Its totient is φ = 119437344000.

The previous prime is 122001201193. The next prime is 122001201239. The reversal of 122001201221 is 122102100221.

It can be written as a sum of positive squares in 4 ways, for example, as 59773404196 + 62227797025 = 244486^2 + 249455^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122001201221 - 218 = 122000939077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122001201196 and 122001201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001201241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2494280 + ... + 2542721.

It is an arithmetic number, because the mean of its divisors is an integer number (15571891683).

Almost surely, 2122001201221 is an apocalyptic number.

It is an amenable number.

122001201221 is a deficient number, since it is larger than the sum of its proper divisors (2573932243).

122001201221 is an equidigital number, since it uses as much as digits as its factorization.

122001201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037511.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122001201221 its reverse (122102100221), we get a palindrome (244103301442).

The spelling of 122001201221 in words is "one hundred twenty-two billion, one million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 53 457 24221 5037001 266961053 2301909457 122001201221