123315200 has 66 divisors (see below), whose sum is σ = 305735826. Its totient is φ = 49315840.

The previous prime is 123315131. The next prime is 123315217. The reversal of 123315200 is 2513321.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 123298816 = 128^2 + 11104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23192 + ... + 28008.

It is an arithmetic number, because the mean of its divisors is an integer number (4632361).

Almost surely, 2^123315200 is an apocalyptic number.

123315200 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 123315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152867913).

123315200 is an abundant number, since it is smaller than the sum of its proper divisors (182420626).

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

123315200 is an equidigital number, since it uses as much as digits as its factorization.

123315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4824 counting only the distinct ones).

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

The square root of 123315200 is about 11104.7377276548. The cubic root of 123315200 is about 497.7434311146.

Adding to 123315200 its reverse (2513321), we get a palindrome (125828521).

The spelling of 123315200 in words is "one hundred twenty-three million, three hundred fifteen thousand, two hundred".