122328560025 has 81 divisors (see below), whose sum is σ = 254952671103. Its totient is φ = 55904839200.

The previous prime is 122328559973. The next prime is 122328560041. The reversal of 122328560025 is 520065823221.

It is a happy number.

The square root of 122328560025 is 349755.

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

122328560025 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 28 + 5 + 600 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44038281609 + 78290278416 = 209853^2 + 279804^2 .

It is not a de Polignac number, because 122328560025 - 2⁹ = 122328559513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36722610 + ... + 36725940.

Almost surely, 2^122328560025 is an apocalyptic number.

122328560025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122328560025 is the 349755-th square number.

122328560025 is the 174878-th centered octagonal number.

It is an amenable number.

122328560025 is an abundant number, since it is smaller than the sum of its proper divisors (132624111078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122328560025 is an frugal number, since it uses more digits than its factorization.

122328560025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 122328560025 by its sum of digits (36), we get a square (4403828160900 = 2098530²).

The spelling of 122328560025 in words is "one hundred twenty-two billion, three hundred twenty-eight million, five hundred sixty thousand, twenty-five".