123513600 has 216 divisors, whose sum is σ = 466359040. Its totient is φ = 28200960.

The previous prime is 123513589. The next prime is 123513613. The reversal of 123513600 is 6315321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133941 + ... + 134859.

Almost surely, 2^123513600 is an apocalyptic number.

123513600 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 123513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233179520).

123513600 is an abundant number, since it is smaller than the sum of its proper divisors (342845440).

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

123513600 is an equidigital number, since it uses as much as digits as its factorization.

123513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 123513600 is about 11113.6672615298. The cubic root of 123513600 is about 498.0102254316.

Adding to 123513600 its reverse (6315321), we get a palindrome (129828921).

It can be divided in two parts, 12351 and 3600, that added together give a palindrome (15951).

The spelling of 123513600 in words is "one hundred twenty-three million, five hundred thirteen thousand, six hundred".