123116448 has 192 divisors, whose sum is σ = 421666560. Its totient is φ = 30523392.

The previous prime is 123116429. The next prime is 123116479. The reversal of 123116448 is 844611321.

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 31 ways as a sum of consecutive naturals, for example, 148098 + ... + 148926.

It is an arithmetic number, because the mean of its divisors is an integer number (2196180).

Almost surely, 2^123116448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210833280).

123116448 is an abundant number, since it is smaller than the sum of its proper divisors (298550112).

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

123116448 is a wasteful number, since it uses less digits than its factorization.

123116448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 123116448 is about 11095.7851457209. The cubic root of 123116448 is about 497.4758763755.

Adding to 123116448 its reverse (844611321), we get a palindrome (967727769).

The spelling of 123116448 in words is "one hundred twenty-three million, one hundred sixteen thousand, four hundred forty-eight".