3201312000000 has 336 divisors, whose sum is σ = 10668618127440. Its totient is φ = 853657600000.

The previous prime is 3201311999887. The next prime is 3201312000031. The reversal of 3201312000000 is 2131023.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3201312000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95983327 + ... + 96016673.

It is an arithmetic number, because the mean of its divisors is an integer number (31751839665).

Almost surely, 2^{3201312000000} is an apocalyptic number.

3201312000000 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 3201312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334309063720).

3201312000000 is an abundant number, since it is smaller than the sum of its proper divisors (7467306127440).

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

3201312000000 is an frugal number, since it uses more digits than its factorization.

3201312000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33402 (or 33357 counting only the distinct ones).

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

Adding to 3201312000000 its reverse (2131023), we get a palindrome (3201314131023).

The spelling of 3201312000000 in words is "three trillion, two hundred one billion, three hundred twelve million", and thus it is an aban number.