122580825 has 24 divisors (see below), whose sum is σ = 209659200. Its totient is φ = 63120960.

The previous prime is 122580817. The next prime is 122580827. The reversal of 122580825 is 528085221.

It is not a de Polignac number, because 122580825 - 2³ = 122580817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122580827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26005 + ... + 30354.

It is an arithmetic number, because the mean of its divisors is an integer number (8735800).

Almost surely, 2^122580825 is an apocalyptic number.

122580825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122580825 is a deficient number, since it is larger than the sum of its proper divisors (87078375).

122580825 is a wasteful number, since it uses less digits than its factorization.

122580825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56401 (or 56396 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 122580825 is about 11071.6225098221. The cubic root of 122580825 is about 496.7533981131.

The spelling of 122580825 in words is "one hundred twenty-two million, five hundred eighty thousand, eight hundred twenty-five".