3012000000000 has 480 divisors, whose sum is σ = 10077538030560. Its totient is φ = 800000000000.

The previous prime is 3011999999999. The next prime is 3012000000071. The reversal of 3012000000000 is 2103.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11999999875 + ... + 12000000125.

It is an arithmetic number, because the mean of its divisors is an integer number (20994870897).

Almost surely, 2^{3012000000000} is an apocalyptic number.

3012000000000 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 3012000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038769015280).

3012000000000 is an abundant number, since it is smaller than the sum of its proper divisors (7065538030560).

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

3012000000000 is an frugal number, since it uses more digits than its factorization.

3012000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 3012000000000 its reverse (2103), we get a palindrome (3012000002103).

It can be divided in two parts, 30 and 12000000000, that multiplied together give a square (360000000000 = 600000²).

The spelling of 3012000000000 in words is "three trillion, twelve billion", and thus it is an aban number and an uban number.