122412515625 has 105 divisors (see below), whose sum is σ = 229313334283. Its totient is φ = 65076750000.

The previous prime is 122412515597. The next prime is 122412515629. The reversal of 122412515625 is 526515214221.

The square root of 122412515625 is 349875.

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

122412515625 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 25 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 107245115289 + 15167400336 = 327483^2 + 123156^2 .

It is not a de Polignac number, because 122412515625 - 2²³ = 122404127017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122412515625.

It is not an unprimeable number, because it can be changed into a prime (122412515629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 393609220 + ... + 393609530.

Almost surely, 2^122412515625 is an apocalyptic number.

122412515625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122412515625 is the 349875-th square number.

122412515625 is the 174938-th centered octagonal number.

It is an amenable number.

122412515625 is a deficient number, since it is larger than the sum of its proper divisors (106900818658).

122412515625 is an frugal number, since it uses more digits than its factorization.

122412515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 319 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Multiplying 122412515625 by its sum of digits (36), we get a square (4406850562500 = 2099250²).

Adding to 122412515625 its reverse (526515214221), we get a palindrome (648927729846).

The spelling of 122412515625 in words is "one hundred twenty-two billion, four hundred twelve million, five hundred fifteen thousand, six hundred twenty-five".