3301402122200 has 288 divisors, whose sum is σ = 9504346325760. Its totient is φ = 1044251020800.

The previous prime is 3301402122167. The next prime is 3301402122211. The reversal of 3301402122200 is 22212041033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 641420027 + ... + 641425173.

It is an arithmetic number, because the mean of its divisors is an integer number (33001202520).

Almost surely, 2^{3301402122200} 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 3301402122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752173162880).

3301402122200 is an abundant number, since it is smaller than the sum of its proper divisors (6202944203560).

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

3301402122200 is a wasteful number, since it uses less digits than its factorization.

3301402122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7885 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3301402122200 its reverse (22212041033), we get a palindrome (3323614163233).

The spelling of 3301402122200 in words is "three trillion, three hundred one billion, four hundred two million, one hundred twenty-two thousand, two hundred".