123196320 has 144 divisors (see below), whose sum is σ = 452815272. Its totient is φ = 30320640.

The previous prime is 123196309. The next prime is 123196357. The reversal of 123196320 is 23691321.

123196320 is a `hidden beast` number, since 1 + 23 + 1 + 9 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60279696 + 62916624 = 7764^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15430 + ... + 22010.

Almost surely, 2^123196320 is an apocalyptic number.

123196320 is a gapful number since it is divisible by the number (10) 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 123196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226407636).

123196320 is an abundant number, since it is smaller than the sum of its proper divisors (329618952).

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

123196320 is a wasteful number, since it uses less digits than its factorization.

123196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 123196320 is about 11099.3837666782. The cubic root of 123196320 is about 497.5834325532.

The spelling of 123196320 in words is "one hundred twenty-three million, one hundred ninety-six thousand, three hundred twenty".