3301121200 has 240 divisors, whose sum is σ = 9154101600. Its totient is φ = 1133199360.

The previous prime is 3301121177. The next prime is 3301121233. The reversal of 3301121200 is 21211033.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9458626 + ... + 9458974.

It is an arithmetic number, because the mean of its divisors is an integer number (38142090).

Almost surely, 2^3301121200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577050800).

3301121200 is an abundant number, since it is smaller than the sum of its proper divisors (5852980400).

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

3301121200 is a wasteful number, since it uses less digits than its factorization.

3301121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3301121200 is about 57455.3844300080. The cubic root of 3301121200 is about 1488.9741448503.

Adding to 3301121200 its reverse (21211033), we get a palindrome (3322332233).

The spelling of 3301121200 in words is "three billion, three hundred one million, one hundred twenty-one thousand, two hundred".