123550080 has 128 divisors (see below), whose sum is σ = 396943200. Its totient is φ = 32686080.

The previous prime is 123550073. The next prime is 123550081. The reversal of 123550080 is 80055321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123550080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123550081) 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 15 ways as a sum of consecutive naturals, for example, 439540 + ... + 439820.

Almost surely, 2^123550080 is an apocalyptic number.

123550080 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 123550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198471600).

123550080 is an abundant number, since it is smaller than the sum of its proper divisors (273393120).

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

123550080 is a wasteful number, since it uses less digits than its factorization.

123550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 123550080 is about 11115.3083627941. The cubic root of 123550080 is about 498.0592500591.

It can be divided in two parts, 1235 and 50080, that added together give a palindrome (51315).

The spelling of 123550080 in words is "one hundred twenty-three million, five hundred fifty thousand, eighty".