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122333441 is a prime number
BaseRepresentation
bin1110100101010…
…10100100000001
322112012011221012
413102222210001
5222304132231
620050010305
73013550156
oct722524401
9275164835
10122333441
1163065a1a
1234b76995
131c463069
141236622d
15ab16e2b
hex74aa901

122333441 has 2 divisors, whose sum is σ = 122333442. Its totient is φ = 122333440.

The previous prime is 122333423. The next prime is 122333443. The reversal of 122333441 is 144333221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77510416 + 44823025 = 8804^2 + 6695^2 .

It is an emirp because it is prime and its reverse (144333221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122333441 is a prime.

Together with 122333443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122333443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61166720 + 61166721.

It is an arithmetic number, because the mean of its divisors is an integer number (61166721).

Almost surely, 2122333441 is an apocalyptic number.

It is an amenable number.

122333441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122333441 is an equidigital number, since it uses as much as digits as its factorization.

122333441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 23.

The square root of 122333441 is about 11060.4448825533. Note that the first 3 decimals coincide. The cubic root of 122333441 is about 496.4190021367.

Adding to 122333441 its reverse (144333221), we get a palindrome (266666662).

The spelling of 122333441 in words is "one hundred twenty-two million, three hundred thirty-three thousand, four hundred forty-one".