3220122132000 has 288 divisors, whose sum is σ = 11430633679920. Its totient is φ = 858517401600.

The previous prime is 3220122131983. The next prime is 3220122132011. The reversal of 3220122132000 is 2312210223.

3220122132000 is a `hidden beast` number, since 3 + 220 + 122 + 1 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1384732944 + 3218737399056 = 37212^2 + 1794084^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322879014 + ... + 322888986.

Almost surely, 2^{3220122132000} is an apocalyptic number.

3220122132000 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 3220122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715316839960).

3220122132000 is an abundant number, since it is smaller than the sum of its proper divisors (8210511547920).

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

3220122132000 is a wasteful number, since it uses less digits than its factorization.

3220122132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18973 (or 18952 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3220122132000 its reverse (2312210223), we get a palindrome (3222434342223).

The spelling of 3220122132000 in words is "three trillion, two hundred twenty billion, one hundred twenty-two million, one hundred thirty-two thousand".