123530542080 has 352 divisors, whose sum is σ = 432035562240. Its totient is φ = 29876551680.

The previous prime is 123530542073. The next prime is 123530542099. The reversal of 123530542080 is 80245035321.

123530542080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×123530542080³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132971056 + ... + 132971984.

Almost surely, 2^123530542080 is an apocalyptic number.

123530542080 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 123530542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216017781120).

123530542080 is an abundant number, since it is smaller than the sum of its proper divisors (308505020160).

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

123530542080 is a wasteful number, since it uses less digits than its factorization.

123530542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 123530542080 in words is "one hundred twenty-three billion, five hundred thirty million, five hundred forty-two thousand, eighty".