122008394209 has 27 divisors (see below), whose sum is σ = 133975315467. Its totient is φ = 111059679744.

The previous prime is 122008394201. The next prime is 122008394237. The reversal of 122008394209 is 902493800221.

The square root of 122008394209 is 349297.

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

It can be written as a sum of positive squares in 13 ways, for example, as 121986040225 + 22353984 = 349265^2 + 4728^2 .

It is not a de Polignac number, because 122008394209 - 2³ = 122008394201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122008394201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 440463379 + ... + 440463655.

It is an arithmetic number, because the mean of its divisors is an integer number (4962048721).

Almost surely, 2^122008394209 is an apocalyptic number.

122008394209 is the 349297-th square number.

122008394209 is the 174649-th centered octagonal number.

It is an amenable number.

122008394209 is a deficient number, since it is larger than the sum of its proper divisors (11966921258).

122008394209 is an frugal number, since it uses more digits than its factorization.

122008394209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 122008394209 in words is "one hundred twenty-two billion, eight million, three hundred ninety-four thousand, two hundred nine".