3212301300000 has 864 divisors, whose sum is σ = 12087382857984. Its totient is φ = 744007680000.

The previous prime is 3212301299971. The next prime is 3212301300001. The reversal of 3212301300000 is 31032123.

3212301300000 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 (15).

It is not an unprimeable number, because it can be changed into a prime (3212301300001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 861898137 + ... + 861901863.

It is an arithmetic number, because the mean of its divisors is an integer number (13990026456).

Almost surely, 2^{3212301300000} is an apocalyptic number.

3212301300000 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 3212301300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043691428992).

3212301300000 is an abundant number, since it is smaller than the sum of its proper divisors (8875081557984).

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

3212301300000 is a wasteful number, since it uses less digits than its factorization.

3212301300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3767 counting only the distinct ones).

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

Adding to 3212301300000 its reverse (31032123), we get a palindrome (3212332332123).

The spelling of 3212301300000 in words is "three trillion, two hundred twelve billion, three hundred one million, three hundred thousand".