122104819225 has 27 divisors (see below), whose sum is σ = 160879488861. Its totient is φ = 91915382400.

The previous prime is 122104819223. The next prime is 122104819253. The reversal of 122104819225 is 522918401221.

The square root of 122104819225 is 349435.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2856154249 + 119248664976 = 53443^2 + 345324^2 .

It is not a de Polignac number, because 122104819225 - 2¹ = 122104819223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122104819223) 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, 29699920 + ... + 29704030.

Almost surely, 2^122104819225 is an apocalyptic number.

122104819225 is the 349435-th square number.

122104819225 is the 174718-th centered octagonal number.

It is an amenable number.

122104819225 is a deficient number, since it is larger than the sum of its proper divisors (38774669636).

122104819225 is an frugal number, since it uses more digits than its factorization.

122104819225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 122104819225 in words is "one hundred twenty-two billion, one hundred four million, eight hundred nineteen thousand, two hundred twenty-five".