3201003012000 has 576 divisors, whose sum is σ = 11056545287424. Its totient is φ = 808058521600.

The previous prime is 3201003011951. The next prime is 3201003012007. The reversal of 3201003012000 is 2103001023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3201003012007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3159923494 + ... + 3159924506.

It is an arithmetic number, because the mean of its divisors is an integer number (19195391124).

Almost surely, 2^{3201003012000} is an apocalyptic number.

3201003012000 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 3201003012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528272643712).

3201003012000 is an abundant number, since it is smaller than the sum of its proper divisors (7855542275424).

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

3201003012000 is a wasteful number, since it uses less digits than its factorization.

3201003012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3201003012000 its reverse (2103001023), we get a palindrome (3203106013023).

The spelling of 3201003012000 in words is "three trillion, two hundred one billion, three million, twelve thousand".