122080401 has 27 divisors (see below), whose sum is σ = 184078011. Its totient is φ = 77961744.

The previous prime is 122080379. The next prime is 122080421. The reversal of 122080401 is 104080221.

The square root of 122080401 is 11049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64016001 + 58064400 = 8001^2 + 7620^2 .

It is not a de Polignac number, because 122080401 - 2¹¹ = 122078353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122080421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 961200 + ... + 961326.

Almost surely, 2^122080401 is an apocalyptic number.

122080401 is the 11049-th square number.

122080401 is the 5525-th centered octagonal number.

It is an amenable number.

122080401 is a deficient number, since it is larger than the sum of its proper divisors (61997610).

122080401 is an equidigital number, since it uses as much as digits as its factorization.

122080401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The cubic root of 122080401 is about 496.0764940664.

The spelling of 122080401 in words is "one hundred twenty-two million, eighty thousand, four hundred one".