123288825 has 24 divisors (see below), whose sum is σ = 222369696. Its totient is φ = 59776000.

The previous prime is 123288817. The next prime is 123288859. The reversal of 123288825 is 528882321.

It is a happy number.

It is not a de Polignac number, because 123288825 - 2³ = 123288817 is a prime.

It is an unprimeable number.

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, 73896 + ... + 75545.

It is an arithmetic number, because the mean of its divisors is an integer number (9265404).

Almost surely, 2^123288825 is an apocalyptic number.

123288825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123288825 is a deficient number, since it is larger than the sum of its proper divisors (99080871).

123288825 is a wasteful number, since it uses less digits than its factorization.

123288825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149465 (or 149460 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 123288825 is about 11103.5501079610. The cubic root of 123288825 is about 497.7079423318.

The spelling of 123288825 in words is "one hundred twenty-three million, two hundred eighty-eight thousand, eight hundred twenty-five".