123321025 has 9 divisors (see below), whose sum is σ = 152986953. Its totient is φ = 98612400.

The previous prime is 123320999. The next prime is 123321041. The reversal of 123321025 is 520123321.

The square root of 123321025 is 11105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 199809 + 123121216 = 447^2 + 11096^2 .

It is a de Polignac number, because none of the positive numbers 2^k-123321025 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123320993 and 123321011.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54415 + ... + 56635.

Almost surely, 2^123321025 is an apocalyptic number.

123321025 is the 11105-th square number.

123321025 is the 5553-rd centered octagonal number.

It is an amenable number.

123321025 is a deficient number, since it is larger than the sum of its proper divisors (29665928).

123321025 is an frugal number, since it uses more digits than its factorization.

123321025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 123321025 is about 497.7512682394.

Adding to 123321025 its reverse (520123321), we get a palindrome (643444346).

It can be divided in two parts, 1233210 and 25, that added together give a triangular number (1233235 = T₁₅₇₀).

The spelling of 123321025 in words is "one hundred twenty-three million, three hundred twenty-one thousand, twenty-five".