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122042202240221 is a prime number
BaseRepresentation
bin11011101111111100101010…
…000111001011010011011101
3121000010010020220120211001122
4123233330222013023103131
5111444014412233141341
61111321225210220325
734464154353622364
oct3357745207132335
9530103226524048
10122042202240221
113598289759277a
121183071a7246a5
1353136b807a803
14221cc3478c7db
15e198e762a94b
hex6eff2a1cb4dd

122042202240221 has 2 divisors, whose sum is σ = 122042202240222. Its totient is φ = 122042202240220.

The previous prime is 122042202240169. The next prime is 122042202240251.

122042202240221 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116381181336121 + 5661020904100 = 10788011^2 + 2379290^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122042202240221 - 26 = 122042202240157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122042202240251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61021101120110 + 61021101120111.

It is an arithmetic number, because the mean of its divisors is an integer number (61021101120111).

Almost surely, 2122042202240221 is an apocalyptic number.

It is an amenable number.

122042202240221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122042202240221 is an equidigital number, since it uses as much as digits as its factorization.

122042202240221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 12204220 and 2240221, that added together give a palindrome (14444441).

The spelling of 122042202240221 in words is "one hundred twenty-two trillion, forty-two billion, two hundred two million, two hundred forty thousand, two hundred twenty-one".