123128160 has 48 divisors (see below), whose sum is σ = 387855216. Its totient is φ = 32834048.

The previous prime is 123128149. The next prime is 123128167. The reversal of 123128160 is 61821321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123128160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123128167) 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 7 ways as a sum of consecutive naturals, for example, 127779 + ... + 128738.

It is an arithmetic number, because the mean of its divisors is an integer number (8080317).

Almost surely, 2^123128160 is an apocalyptic number.

123128160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123128160 is an abundant number, since it is smaller than the sum of its proper divisors (264727056).

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

123128160 is a wasteful number, since it uses less digits than its factorization.

123128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256535 (or 256527 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 123128160 is about 11096.3129011397. The cubic root of 123128160 is about 497.4916507441.

Adding to 123128160 its reverse (61821321), we get a palindrome (184949481).

The spelling of 123128160 in words is "one hundred twenty-three million, one hundred twenty-eight thousand, one hundred sixty".