3002222221312 has 192 divisors, whose sum is σ = 6514595942400. Its totient is φ = 1378015641600.

The previous prime is 3002222221303. The next prime is 3002222221337. The reversal of 3002222221312 is 2131222222003.

It is a super-2 number, since 2×3002222221312² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228281937 + ... + 228295087.

It is an arithmetic number, because the mean of its divisors is an integer number (33930187200).

Almost surely, 2^{3002222221312} is an apocalyptic number.

3002222221312 is a gapful number since it is divisible by the number (32) 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 3002222221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257297971200).

3002222221312 is an abundant number, since it is smaller than the sum of its proper divisors (3512373721088).

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

3002222221312 is a wasteful number, since it uses less digits than its factorization.

3002222221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13352 (or 13332 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3002222221312 its reverse (2131222222003), we get a palindrome (5133444443315).

The spelling of 3002222221312 in words is "three trillion, two billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".