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122401 is a prime number
BaseRepresentation
bin11101111000100001
320012220101
4131320201
512404101
62342401
71016566
oct357041
9205811
10122401
1183a64
125aa01
1343936
143286d
1526401
hex1de21

122401 has 2 divisors, whose sum is σ = 122402. Its totient is φ = 122400.

The previous prime is 122399. The next prime is 122443. The reversal of 122401 is 104221.

Adding to 122401 its reverse (104221), we get a palindrome (226622).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 46225 = 276^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 122401 - 21 = 122399 is a prime.

Together with 122399, 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 (122471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61200 + 61201.

It is an arithmetic number, because the mean of its divisors is an integer number (61201).

2122401 is an apocalyptic number.

It is an amenable number.

122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122401 is an equidigital number, since it uses as much as digits as its factorization.

122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122401 is about 349.8585428427. The cubic root of 122401 is about 49.6510368268.

The spelling of 122401 in words is "one hundred twenty-two thousand, four hundred one", and thus it is an iban number.