12003332001000 has 256 divisors, whose sum is σ = 40004294204160. Its totient is φ = 2985939353600.

The previous prime is 12003332000929. The next prime is 12003332001071. The reversal of 12003332001000 is 10023330021.

It is an interprime number because it is at equal distance from previous prime (12003332000929) and next prime (12003332001071).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4721587 + ... + 6804413.

It is an arithmetic number, because the mean of its divisors is an integer number (156266774235).

Almost surely, 2^{12003332001000} is an apocalyptic number.

12003332001000 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 12003332001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002147102080).

12003332001000 is an abundant number, since it is smaller than the sum of its proper divisors (28000962203160).

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

12003332001000 is a wasteful number, since it uses less digits than its factorization.

12003332001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082981 (or 2082967 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12003332001000 its reverse (10023330021), we get a palindrome (12013355331021).

The spelling of 12003332001000 in words is "twelve trillion, three billion, three hundred thirty-two million, one thousand".