123180512 has 72 divisors (see below), whose sum is σ = 303856056. Its totient is φ = 48722688.

The previous prime is 123180493. The next prime is 123180529. The reversal of 123180512 is 215081321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17363 + ... + 23405.

It is an arithmetic number, because the mean of its divisors is an integer number (4220223).

Almost surely, 2^123180512 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 123180512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151928028).

123180512 is an abundant number, since it is smaller than the sum of its proper divisors (180675544).

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

123180512 is a wasteful number, since it uses less digits than its factorization.

123180512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 123180512 is about 11098.6716322270. The cubic root of 123180512 is about 497.5621490837.

The spelling of 123180512 in words is "one hundred twenty-three million, one hundred eighty thousand, five hundred twelve".