123314000 has 40 divisors (see below), whose sum is σ = 298178088. Its totient is φ = 49324800.

The previous prime is 123313991. The next prime is 123314021. The reversal of 123314000 is 413321.

It can be written as a sum of positive squares in 4 ways, for example, as 5721664 + 117592336 = 2392^2 + 10844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28829 + ... + 32828.

Almost surely, 2^123314000 is an apocalyptic number.

123314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123314000 is an abundant number, since it is smaller than the sum of its proper divisors (174864088).

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

123314000 is an equidigital number, since it uses as much as digits as its factorization.

123314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61680 (or 61664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123314000 is about 11104.6836965309. The cubic root of 123314000 is about 497.7418165690.

Adding to 123314000 its reverse (413321), we get a palindrome (123727321).

The spelling of 123314000 in words is "one hundred twenty-three million, three hundred fourteen thousand".