3301121122200 has 288 divisors, whose sum is σ = 12100587744960. Its totient is φ = 799842988800.

The previous prime is 3301121122171. The next prime is 3301121122213. The reversal of 3301121122200 is 22211211033.

3301121122200 is a `hidden beast` number, since 330 + 1 + 1 + 2 + 112 + 220 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37714887 + ... + 37802313.

It is an arithmetic number, because the mean of its divisors is an integer number (42015929670).

Almost surely, 2^{3301121122200} is an apocalyptic number.

3301121122200 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 3301121122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050293872480).

3301121122200 is an abundant number, since it is smaller than the sum of its proper divisors (8799466622760).

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

3301121122200 is a wasteful number, since it uses less digits than its factorization.

3301121122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89367 (or 89355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3301121122200 its reverse (22211211033), we get a palindrome (3323332333233).

The spelling of 3301121122200 in words is "three trillion, three hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred".