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122040255217 = 973517357733
BaseRepresentation
bin111000110101000101…
…0101000001011110001
3102200000012021022111111
41301222022220023301
53444414301131332
6132021534113321
711550162024226
oct1615212501361
9380005238444
10122040255217
11478365a7061
121b79b04b841
13b67bab748a
145c9a2bd94d
15329416a947
hex1c6a2a82f1

122040255217 has 8 divisors (see below), whose sum is σ = 123333804776. Its totient is φ = 120747428352.

The previous prime is 122040255209. The next prime is 122040255263. The reversal of 122040255217 is 712552040221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77301236961 + 44739018256 = 278031^2 + 211516^2 .

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 122040255217 - 23 = 122040255209 is a prime.

It is a super-3 number, since 3×1220402552173 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122040258217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162283 + ... + 520015.

It is an arithmetic number, because the mean of its divisors is an integer number (15416725597).

Almost surely, 2122040255217 is an apocalyptic number.

It is an amenable number.

122040255217 is a deficient number, since it is larger than the sum of its proper divisors (1293549559).

122040255217 is an equidigital number, since it uses as much as digits as its factorization.

122040255217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361347.

The product of its (nonzero) digits is 11200, while the sum is 31.

Adding to 122040255217 its reverse (712552040221), we get a palindrome (834592295438).

The spelling of 122040255217 in words is "one hundred twenty-two billion, forty million, two hundred fifty-five thousand, two hundred seventeen".

Divisors: 1 97 3517 341149 357733 34700101 1258146961 122040255217