3122221133200 has 120 divisors (see below), whose sum is σ = 8100653400000. Its totient is φ = 1149608225280.

The previous prime is 3122221133191. The next prime is 3122221133209. The reversal of 3122221133200 is 23311222213.

It is an interprime number because it is at equal distance from previous prime (3122221133191) and next prime (3122221133209).

It is not an unprimeable number, because it can be changed into a prime (3122221133209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030551 + ... + 2703049.

It is an arithmetic number, because the mean of its divisors is an integer number (67505445000).

Almost surely, 2^{3122221133200} 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 3122221133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050326700000).

3122221133200 is an abundant number, since it is smaller than the sum of its proper divisors (4978432266800).

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

3122221133200 is a wasteful number, since it uses less digits than its factorization.

3122221133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672889 (or 1672878 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3122221133200 its reverse (23311222213), we get a palindrome (3145532355413).

The spelling of 3122221133200 in words is "three trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred thirty-three thousand, two hundred".