122210401 has 8 divisors (see below), whose sum is σ = 126334208. Its totient is φ = 118098000.

The previous prime is 122210369. The next prime is 122210423. The reversal of 122210401 is 104012221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 10-Lehmer number, since φ(122210401) divides (122210401-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 122210401 - 2⁵ = 122210369 is a prime.

It is a super-3 number, since 3×122210401³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122210471) 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 in 7 ways as a sum of consecutive naturals, for example, 22711 + ... + 27571.

It is an arithmetic number, because the mean of its divisors is an integer number (15791776).

Almost surely, 2^122210401 is an apocalyptic number.

It is an amenable number.

122210401 is a deficient number, since it is larger than the sum of its proper divisors (4123807).

122210401 is an equidigital number, since it uses as much as digits as its factorization.

122210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122210401 is about 11054.8813200323. The cubic root of 122210401 is about 496.2525175888.

Adding to 122210401 its reverse (104012221), we get a palindrome (226222622).

The spelling of 122210401 in words is "one hundred twenty-two million, two hundred ten thousand, four hundred one".