123160224 has 96 divisors (see below), whose sum is σ = 354945024. Its totient is φ = 37082880.

The previous prime is 123160211. The next prime is 123160229. The reversal of 123160224 is 422061321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 123160224.

It is not an unprimeable number, because it can be changed into a prime (123160229) by changing a digit.

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, 235227 + ... + 235749.

It is an arithmetic number, because the mean of its divisors is an integer number (3697344).

Almost surely, 2^123160224 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 123160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177472512).

123160224 is an abundant number, since it is smaller than the sum of its proper divisors (231784800).

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

123160224 is a wasteful number, since it uses less digits than its factorization.

123160224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 123160224 is about 11097.7576113375. The cubic root of 123160224 is about 497.5348311935.

The spelling of 123160224 in words is "one hundred twenty-three million, one hundred sixty thousand, two hundred twenty-four".