3211133200000 has 384 divisors, whose sum is σ = 8758306932480. Its totient is φ = 1162944000000.

The previous prime is 3211133199983. The next prime is 3211133200001. The reversal of 3211133200000 is 23311123.

It is a super-3 number, since 3×3211133200000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3211133200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192398654 + ... + 1192401346.

It is an arithmetic number, because the mean of its divisors is an integer number (22808090970).

Almost surely, 2^{3211133200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3211133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379153466240).

3211133200000 is an abundant number, since it is smaller than the sum of its proper divisors (5547173732480).

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

3211133200000 is an equidigital number, since it uses as much as digits as its factorization.

3211133200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3211133200000 its reverse (23311123), we get a palindrome (3211156511123).

The spelling of 3211133200000 in words is "three trillion, two hundred eleven billion, one hundred thirty-three million, two hundred thousand".