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122444221 is a prime number
BaseRepresentation
bin1110100110001…
…01100110111101
322112101210220011
413103011212331
5222321203341
620052223221
73014521144
oct723054675
9275353804
10122444221
1163131179
123500ab11
131c4a1603
141239475b
15ab39b81
hex74c59bd

122444221 has 2 divisors, whose sum is σ = 122444222. Its totient is φ = 122444220.

The previous prime is 122444209. The next prime is 122444243.

122444221 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (122444243) can be obtained adding 122444221 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107536900 + 14907321 = 10370^2 + 3861^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122444221 - 29 = 122443709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122444192 and 122444201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122444281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61222110 + 61222111.

It is an arithmetic number, because the mean of its divisors is an integer number (61222111).

Almost surely, 2122444221 is an apocalyptic number.

It is an amenable number.

122444221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122444221 is an equidigital number, since it uses as much as digits as its factorization.

122444221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1024, while the sum is 22.

The square root of 122444221 is about 11065.4516853132. The cubic root of 122444221 is about 496.5688022924.

The spelling of 122444221 in words is "one hundred twenty-two million, four hundred forty-four thousand, two hundred twenty-one".