123228672 has 160 divisors (see below), whose sum is σ = 382749312. Its totient is φ = 34504704.

The previous prime is 123228667. The next prime is 123228683. The reversal of 123228672 is 276822321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784818 + ... + 784974.

Almost surely, 2^123228672 is an apocalyptic number.

123228672 is a gapful number since it is divisible by the number (12) 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 123228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191374656).

123228672 is an abundant number, since it is smaller than the sum of its proper divisors (259520640).

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

123228672 is an equidigital number, since it uses as much as digits as its factorization.

123228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 123228672 is about 11100.8410492178. The cubic root of 123228672 is about 497.6269847478.

The spelling of 123228672 in words is "one hundred twenty-three million, two hundred twenty-eight thousand, six hundred seventy-two".