3201234211200 has 384 divisors, whose sum is σ = 10811648010240. Its totient is φ = 832038912000.

The previous prime is 3201234211199. The next prime is 3201234211207. The reversal of 3201234211200 is 21124321023.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201234211207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484518297 + ... + 484524903.

It is an arithmetic number, because the mean of its divisors is an integer number (28155333360).

Almost surely, 2^{3201234211200} is an apocalyptic number.

3201234211200 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 3201234211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405824005120).

3201234211200 is an abundant number, since it is smaller than the sum of its proper divisors (7610413799040).

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

3201234211200 is a wasteful number, since it uses less digits than its factorization.

3201234211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7906 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3201234211200 its reverse (21124321023), we get a palindrome (3222358532223).

The spelling of 3201234211200 in words is "three trillion, two hundred one billion, two hundred thirty-four million, two hundred eleven thousand, two hundred".