123130080 has 144 divisors (see below), whose sum is σ = 431724384. Its totient is φ = 31933440.

The previous prime is 123130067. The next prime is 123130087. The reversal of 123130080 is 80031321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×123130080² = 30322033201612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130087) 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 23 ways as a sum of consecutive naturals, for example, 52125 + ... + 54435.

It is an arithmetic number, because the mean of its divisors is an integer number (2998086).

Almost surely, 2^123130080 is an apocalyptic number.

123130080 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 123130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215862192).

123130080 is an abundant number, since it is smaller than the sum of its proper divisors (308594304).

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

123130080 is a wasteful number, since it uses less digits than its factorization.

123130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 123130080 is about 11096.3994160268. The cubic root of 123130080 is about 497.4942366108.

The spelling of 123130080 in words is "one hundred twenty-three million, one hundred thirty thousand, eighty".