12003605803000 has 384 divisors, whose sum is σ = 35163624562560. Its totient is φ = 3809917440000.

The previous prime is 12003605802977. The next prime is 12003605803031. The reversal of 12003605803000 is 30850630021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12003605803000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50694885 + ... + 50931115.

It is an arithmetic number, because the mean of its divisors is an integer number (91571938965).

Almost surely, 2^{12003605803000} is an apocalyptic number.

12003605803000 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 12003605803000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581812281280).

12003605803000 is an abundant number, since it is smaller than the sum of its proper divisors (23160018759560).

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

12003605803000 is a wasteful number, since it uses less digits than its factorization.

12003605803000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236344 (or 236323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 12003605803000 in words is "twelve trillion, three billion, six hundred five million, eight hundred three thousand".