3000112200000 has 252 divisors, whose sum is σ = 10748418424380. Its totient is φ = 800029440000.

The previous prime is 3000112199999. The next prime is 3000112200073. The reversal of 3000112200000 is 22110003.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2107676782656 + 892435417344 = 1451784^2 + 944688^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 966636 + ... + 2633364.

It is an arithmetic number, because the mean of its divisors is an integer number (42652454065).

Almost surely, 2^{3000112200000} is an apocalyptic number.

3000112200000 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 3000112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374209212190).

3000112200000 is an abundant number, since it is smaller than the sum of its proper divisors (7748306224380).

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

3000112200000 is an equidigital number, since it uses as much as digits as its factorization.

3000112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666772 (or 1666739 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 3000112200000 its reverse (22110003), we get a palindrome (3000134310003).

The spelling of 3000112200000 in words is "three trillion, one hundred twelve million, two hundred thousand".