12603405696 has 128 divisors (see below), whose sum is σ = 39074780160. Its totient is φ = 3524321280.

The previous prime is 12603405677. The next prime is 12603405701. The reversal of 12603405696 is 69650430621.

12603405696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76456 + ... + 176216.

It is an arithmetic number, because the mean of its divisors is an integer number (305271720).

Almost surely, 2^12603405696 is an apocalyptic number.

12603405696 is a gapful number since it is divisible by the number (16) 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 12603405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19537390080).

12603405696 is an abundant number, since it is smaller than the sum of its proper divisors (26471374464).

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

12603405696 is an equidigital number, since it uses as much as digits as its factorization.

12603405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99832 (or 99820 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 12603405696 in words is "twelve billion, six hundred three million, four hundred five thousand, six hundred ninety-six".