3320133301200 has 240 divisors, whose sum is σ = 10676118024000. Its totient is φ = 881991720960.

The previous prime is 3320133301151. The next prime is 3320133301291. The reversal of 3320133301200 is 21033310233.

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

It is a super-2 number, since 2×3320133301200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606192862 + ... + 606198338.

It is an arithmetic number, because the mean of its divisors is an integer number (44483825100).

Almost surely, 2^{3320133301200} is an apocalyptic number.

3320133301200 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 3320133301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338059012000).

3320133301200 is an abundant number, since it is smaller than the sum of its proper divisors (7355984722800).

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

3320133301200 is a wasteful number, since it uses less digits than its factorization.

3320133301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3320133301200 its reverse (21033310233), we get a palindrome (3341166611433).

The spelling of 3320133301200 in words is "three trillion, three hundred twenty billion, one hundred thirty-three million, three hundred one thousand, two hundred".