12603225600 has 360 divisors, whose sum is σ = 51550115760. Its totient is φ = 2880552960.

The previous prime is 12603225581. The next prime is 12603225611. The reversal of 12603225600 is 652230621.

12603225600 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 32 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 798586 + ... + 814214.

It is an arithmetic number, because the mean of its divisors is an integer number (143194766).

Almost surely, 2^12603225600 is an apocalyptic number.

12603225600 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 12603225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25775057880).

12603225600 is an abundant number, since it is smaller than the sum of its proper divisors (38946890160).

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

12603225600 is a wasteful number, since it uses less digits than its factorization.

12603225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15670 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12603225600 in words is "twelve billion, six hundred three million, two hundred twenty-five thousand, six hundred".