123187680 has 432 divisors, whose sum is σ = 533306592. Its totient is φ = 25344000.

The previous prime is 123187651. The next prime is 123187699. The reversal of 123187680 is 86781321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219630 + ... + 1219730.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 2^123187680 is an apocalyptic number.

123187680 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 123187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266653296).

123187680 is an abundant number, since it is smaller than the sum of its proper divisors (410118912).

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

123187680 is a wasteful number, since it uses less digits than its factorization.

123187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 123187680 is about 11098.9945490571. The cubic root of 123187680 is about 497.5718001133.

The spelling of 123187680 in words is "one hundred twenty-three million, one hundred eighty-seven thousand, six hundred eighty".