12003558652800 has 1536 divisors, whose sum is σ = 51807159129600. Its totient is φ = 2675839795200.

The previous prime is 12003558652759. The next prime is 12003558652817. The reversal of 12003558652800 is 825685530021.

12003558652800 is a `hidden beast` number, since 12 + 0 + 0 + 3 + 5 + 586 + 52 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3496519884 + ... + 3496523316.

It is an arithmetic number, because the mean of its divisors is an integer number (33728619225).

Almost surely, 2^{12003558652800} is an apocalyptic number.

12003558652800 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 12003558652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25903579564800).

12003558652800 is an abundant number, since it is smaller than the sum of its proper divisors (39803600476800).

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

12003558652800 is a wasteful number, since it uses less digits than its factorization.

12003558652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12003558652800 in words is "twelve trillion, three billion, five hundred fifty-eight million, six hundred fifty-two thousand, eight hundred".