3003231132000 has 1152 divisors, whose sum is σ = 11817597617280. Its totient is φ = 722236416000.

The previous prime is 3003231131969. The next prime is 3003231132017. The reversal of 3003231132000 is 2311323003.

3003231132000 is a `hidden beast` number, since 3 + 0 + 0 + 32 + 311 + 320 + 0 + 0 = 666.

3003231132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11164427866 + ... + 11164428134.

It is an arithmetic number, because the mean of its divisors is an integer number (10258331265).

Almost surely, 2^{3003231132000} is an apocalyptic number.

3003231132000 is a gapful number since it is divisible by the number (30) 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 3003231132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908798808640).

3003231132000 is an abundant number, since it is smaller than the sum of its proper divisors (8814366485280).

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

3003231132000 is a wasteful number, since it uses less digits than its factorization.

3003231132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3003231132000 its reverse (2311323003), we get a palindrome (3005542455003).

The spelling of 3003231132000 in words is "three trillion, three billion, two hundred thirty-one million, one hundred thirty-two thousand".