123503120 has 80 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 45238272.

The previous prime is 123503119. The next prime is 123503129. The reversal of 123503120 is 21305321.

It can be written as a sum of positive squares in 8 ways, for example, as 27541504 + 95961616 = 5248^2 + 9796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (123503129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154562 + ... + 155358.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2^123503120 is an apocalyptic number.

123503120 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 123503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

123503120 is an abundant number, since it is smaller than the sum of its proper divisors (188195680).

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

123503120 is a wasteful number, since it uses less digits than its factorization.

123503120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 123503120 is about 11113.1957599963. The cubic root of 123503120 is about 497.9961398173.

Adding to 123503120 its reverse (21305321), we get a palindrome (144808441).

The spelling of 123503120 in words is "one hundred twenty-three million, five hundred three thousand, one hundred twenty".