12403605688320 has 2496 divisors, whose sum is σ = 53452630167552. Its totient is φ = 2397988454400.

The previous prime is 12403605688319. The next prime is 12403605688403. The reversal of 12403605688320 is 2388650630421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12403605688320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51467243400 + ... + 51467243640.

Almost surely, 2^{12403605688320} is an apocalyptic number.

12403605688320 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 12403605688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26726315083776).

12403605688320 is an abundant number, since it is smaller than the sum of its proper divisors (41049024479232).

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

12403605688320 is a wasteful number, since it uses less digits than its factorization.

12403605688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 12403605688320 in words is "twelve trillion, four hundred three billion, six hundred five million, six hundred eighty-eight thousand, three hundred twenty".