3222513322000 has 240 divisors, whose sum is σ = 9067489844400. Its totient is φ = 1104461568000.

The previous prime is 3222513321983. The next prime is 3222513322027. The reversal of 3222513322000 is 2233152223.

It can be written as a sum of positive squares in 8 ways, for example, as 2455025189904 + 767488132096 = 1566852^2 + 876064^2 .

It is a super-2 number, since 2×3222513322000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426198220 + ... + 426205780.

It is an arithmetic number, because the mean of its divisors is an integer number (37781207685).

Almost surely, 2^{3222513322000} 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 3222513322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533744922200).

3222513322000 is an abundant number, since it is smaller than the sum of its proper divisors (5844976522400).

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

3222513322000 is a wasteful number, since it uses less digits than its factorization.

3222513322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11947 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 3222513322000 its reverse (2233152223), we get a palindrome (3224746474223).

The spelling of 3222513322000 in words is "three trillion, two hundred twenty-two billion, five hundred thirteen million, three hundred twenty-two thousand".