123188960 has 96 divisors (see below), whose sum is σ = 302097600. Its totient is φ = 47443968.

The previous prime is 123188959. The next prime is 123188963. The reversal of 123188960 is 69881321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123188963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618941 + ... + 619139.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2^123188960 is an apocalyptic number.

123188960 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 123188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151048800).

123188960 is an abundant number, since it is smaller than the sum of its proper divisors (178908640).

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

123188960 is a wasteful number, since it uses less digits than its factorization.

123188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 123188960 is about 11099.0522117882. The cubic root of 123188960 is about 497.5735234721.

The spelling of 123188960 in words is "one hundred twenty-three million, one hundred eighty-eight thousand, nine hundred sixty".