3002232222000 has 640 divisors, whose sum is σ = 12005307325440. Its totient is φ = 710881920000.

The previous prime is 3002232221969. The next prime is 3002232222137. The reversal of 3002232222000 is 2222322003.

3002232222000 is a `hidden beast` number, since 300 + 22 + 322 + 2 + 20 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25483230 + ... + 25600770.

It is an arithmetic number, because the mean of its divisors is an integer number (18758292696).

Almost surely, 2^{3002232222000} is an apocalyptic number.

3002232222000 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 3002232222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002653662720).

3002232222000 is an abundant number, since it is smaller than the sum of its proper divisors (9003075103440).

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

3002232222000 is a wasteful number, since it uses less digits than its factorization.

3002232222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117627 (or 117605 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 3002232222000 its reverse (2222322003), we get a palindrome (3004454544003).

The spelling of 3002232222000 in words is "three trillion, two billion, two hundred thirty-two million, two hundred twenty-two thousand".