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122220141321 = 359225914517
BaseRepresentation
bin111000111010011100…
…0110101101100001001
3102200110201202110211210
41301310320311230021
54000301324010241
6132051441443333
711554505026425
oct1616470655411
9380421673753
10122220141321
11479190a1163
121b82b340549
13b6aa14b565
145cb6147b85
1532a4d50316
hex1c74e35b09

122220141321 has 24 divisors (see below), whose sum is σ = 165869731584. Its totient is φ = 80050435360.

The previous prime is 122220141317. The next prime is 122220141391. The reversal of 122220141321 is 123141022221.

It is a happy number.

It is not a de Polignac number, because 122220141321 - 22 = 122220141317 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122220141391) 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 23 ways as a sum of consecutive naturals, for example, 27055555 + ... + 27060071.

It is an arithmetic number, because the mean of its divisors is an integer number (6911238816).

Almost surely, 2122220141321 is an apocalyptic number.

It is an amenable number.

122220141321 is a deficient number, since it is larger than the sum of its proper divisors (43649590263).

122220141321 is an equidigital number, since it uses as much as digits as its factorization.

122220141321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122220141321 its reverse (123141022221), we get a palindrome (245361163542).

The spelling of 122220141321 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 59 177 2591 3481 4517 7773 10443 13551 152869 266503 458607 799509 9019271 11703547 15723677 27057813 35110641 47171031 690509273 2071527819 40740047107 122220141321