122195689225 has 27 divisors (see below), whose sum is σ = 152862917319. Its totient is φ = 96899418000.

The previous prime is 122195689199. The next prime is 122195689241. The reversal of 122195689225 is 522986591221.

The square root of 122195689225 is 349565.

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., 43990448121 + 78205241104 = 209739^2 + 279652^2 .

It is not a de Polignac number, because 122195689225 - 2⁵ = 122195689193 is a prime.

It is a super-3 number, since 3×122195689225³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263921344 + ... + 263921806.

Almost surely, 2^122195689225 is an apocalyptic number.

122195689225 is the 349565-th square number.

122195689225 is the 174783-rd centered octagonal number.

It is an amenable number.

122195689225 is a deficient number, since it is larger than the sum of its proper divisors (30667228094).

122195689225 is an frugal number, since it uses more digits than its factorization.

122195689225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 52.

The spelling of 122195689225 in words is "one hundred twenty-two billion, one hundred ninety-five million, six hundred eighty-nine thousand, two hundred twenty-five".