3312132013200 has 240 divisors, whose sum is σ = 10689898302720. Its totient is φ = 876591843840.

The previous prime is 3312132013193. The next prime is 3312132013219. The reversal of 3312132013200 is 23102312133.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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, 112325659 + ... + 112355141.

It is an arithmetic number, because the mean of its divisors is an integer number (44541242928).

Almost surely, 2^{3312132013200} is an apocalyptic number.

3312132013200 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 3312132013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344949151360).

3312132013200 is an abundant number, since it is smaller than the sum of its proper divisors (7377766289520).

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

3312132013200 is a wasteful number, since it uses less digits than its factorization.

3312132013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30206 (or 30195 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3312132013200 its reverse (23102312133), we get a palindrome (3335234325333).

The spelling of 3312132013200 in words is "three trillion, three hundred twelve billion, one hundred thirty-two million, thirteen thousand, two hundred".