123348336 has 80 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 39792640.

The previous prime is 123348301. The next prime is 123348347. The reversal of 123348336 is 633843321.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123348297 and 123348306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458410 + ... + 458678.

It is an arithmetic number, because the mean of its divisors is an integer number (4113018).

Almost surely, 2^123348336 is an apocalyptic number.

123348336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123348336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

123348336 is an abundant number, since it is smaller than the sum of its proper divisors (205693104).

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

123348336 is a wasteful number, since it uses less digits than its factorization.

123348336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 123348336 is about 11106.2296032452. The cubic root of 123348336 is about 497.7880099642.

The spelling of 123348336 in words is "one hundred twenty-three million, three hundred forty-eight thousand, three hundred thirty-six".