3331120201200 has 360 divisors, whose sum is σ = 12674857502736. Its totient is φ = 803443200000.

The previous prime is 3331120201187. The next prime is 3331120201247. The reversal of 3331120201200 is 21020211333.

3331120201200 is a `hidden beast` number, since 33 + 311 + 202 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3331120201200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7587700 + ... + 8014700.

Almost surely, 2^{3331120201200} is an apocalyptic number.

3331120201200 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 3331120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337428751368).

3331120201200 is an abundant number, since it is smaller than the sum of its proper divisors (9343737301536).

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

3331120201200 is a wasteful number, since it uses less digits than its factorization.

3331120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427233 (or 427219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3331120201200 its reverse (21020211333), we get a palindrome (3352140412533).

The spelling of 3331120201200 in words is "three trillion, three hundred thirty-one billion, one hundred twenty million, two hundred one thousand, two hundred".