3120221322000 has 480 divisors, whose sum is σ = 11202806010240. Its totient is φ = 808820812800.

The previous prime is 3120221321999. The next prime is 3120221322011. The reversal of 3120221322000 is 2231220213.

3120221322000 is a `hidden beast` number, since 3 + 120 + 221 + 322 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×3120221322000³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1333996831 + ... + 1333999169.

It is an arithmetic number, because the mean of its divisors is an integer number (23339179188).

Almost surely, 2^{3120221322000} is an apocalyptic number.

3120221322000 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 3120221322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601403005120).

3120221322000 is an abundant number, since it is smaller than the sum of its proper divisors (8082584688240).

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

3120221322000 is a wasteful number, since it uses less digits than its factorization.

3120221322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4389 counting only the distinct ones).

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

Adding to 3120221322000 its reverse (2231220213), we get a palindrome (3122452542213).

The spelling of 3120221322000 in words is "three trillion, one hundred twenty billion, two hundred twenty-one million, three hundred twenty-two thousand".